how do you simplify
[tex] \frac{ \sin(90 - \alpha ) \times \tan( - \alpha ) \times \cos( \alpha - 180) }{ \ \cos(100) \sin(135?) } [/tex]

Answers

Answer 1

Answer:

[tex]\dfrac{sin(90^{\circ} - \alpha) \times tan (-\alpha) \times cos(\alpha - 180^{\circ})}{cos(100^{\circ}) \times sin(135 ^{\circ})} = \dfrac{\sqrt{2} \times sin(2 \times \alpha) }{2 \times cos(100^{\circ}) }[/tex]

Explanation:

The given expression is presented as follows;

[tex]\dfrac{sin(90^{\circ} - \alpha) \times tan (-\alpha) \times cos(\alpha - 180^{\circ})}{cos(100^{\circ}) \times sin(135 ^{\circ})}[/tex]

The sine, cosine, and tangent of the common angles are given as follows;

sin(A - B) = sin(A)·cos(B) - cos(A)·sin(B)

∴ sin(90° - α) = sin(90°)·cos(α) - cos(90°)·sin(α) = cos(α)

tan(-α) = -tan(α)

cos(A - B) = cos(A)·cos(B) + sin(A)·sin(B)

∴ cos(α - 180°) = cos(α)·cos(180°) + sin(α)·sin(180°) = -cos(α)

sin(135°) = sin(90° + 45°) = sin(90°)·cos(45°) + sin(45°)·cos(90°) = cos(45°) = √2/2

Therefore, we get;

[tex]\dfrac{sin(90^{\circ} - \alpha) \times tan (-\alpha) \times -cos( 180^{\circ})}{cos(100^{\circ}) \times sin(135 ^{\circ})} = \dfrac{cos( \alpha) \times -tan (\alpha) \times -cos(\alpha )}{cos(100^{\circ}) \times \dfrac{\sqrt{2} }{2}}[/tex]

[tex]\dfrac{cos( \alpha) \times -\dfrac{sin(\alpha)}{cos(\alpha)} \times -cos(\alpha )}{cos(100^{\circ}) \times \dfrac{\sqrt{2} }{2}} = \dfrac{sin( \alpha) \times cos(\alpha )}{cos(100^{\circ}) \times \dfrac{\sqrt{2} }{2}} = \dfrac{2}{\sqrt{2} } \times \dfrac{sin( \alpha) \times cos(\alpha )}{cos(100^{\circ}) }[/tex]

[tex]\dfrac{2}{\sqrt{2} } \times \dfrac{sin( \alpha) \times cos(\alpha )}{cos(100^{\circ}) } = \dfrac{sin(2 \times \alpha) }{\sqrt{2} \times cos(100^{\circ}) }[/tex]

Therefore;

[tex]\dfrac{sin(90^{\circ} - \alpha) \times tan (-\alpha) \times cos(\alpha - 180^{\circ})}{cos(100^{\circ}) \times sin(135 ^{\circ})} = \dfrac{\sqrt{2} \times sin(2 \times \alpha) }{2 \times cos(100^{\circ}) }[/tex]


Related Questions

Select the correct answer.
Frankle is trying to create an app. He creates a new ViewController and removes the default one. What should he keep in mind when building
the app?
OA
connect all the ViewControllers to the old ones
OB.
assigning the first ViewController as initial
Oc. creating a SplitViewController
OD. adding a segue from the last ViewController

Answers

od. adding a segue fro. the last viewcontroller

this bar is located at the top of your computer school in.Its functions allow you to navigate the web​

Answers

Answer:

idu

Explanation:

The answer is Address bar

Select the correct answer.

Susan is a programmer and uses the hexadecimal number system to represent instructions. Which letters of the alphabet do you think Susan uses to represent the numbers 10 to 15 in this number system?

A. A to F

B. A to H

C. A to M

D. A to J

Answers

Answer is  Hexadecimal  :     A.   A to F

In cell K26, create a formula that counts the number times "Thunder" occurs in the columns containing "Names"

I would wanna know the Formula for this In Excel

Answers

Answer:

I1 to K2: Use a formula to link the cells. Create a formula in column L that calculates the averages for each matching category in K2:

hope it's help you plz mark as brain list

Following are the excel formula to count the number of times "Thunder" occurs in the names column:

Excel formula to count the number of times the value occurs:

Formula:

=COUNTIF(C:C,C8)

Explanation of the Formula:

The COUNTIF function in Excel is a built-in function that counts cells according to several criteria. "=COUNTIF" is how it's spelled. The "COUNTIF" is a statistical function that can be used to count the number of cells that meet a requirement, like the number of times a certain city occurs in a client list.Inside the "COUNTIF" method we pass a two-parameter, in which the first parameter selects the column and the next parameter finds the value that will occur the number of times.

Find out more about the excel function here:

brainly.com/question/20497277

Describe how serial data access finds data

Answers

Answer:

Serial data access will go through all the data by order until the target data is reached

Explanation:

This is opposite of direct data access which immediately finds the desired

data

Answer:

Serial access works by accessing the data at the beginning and then working through it bit-by-bit until the end.

...

Examples of storage medium that use serial access are:

Video cassettes.

Music cassettes.

Backup tape cartridges(hold lots of tape for backing up large amounts of data)

Write a qbasic program to supply first , middle and last name of a person and print the output as given below :

If input is Sam Christopher Robert output should be Robert Christopher Sam.​

Answers

Answer:

The QBasic program is as follows:

10 INPUT "First name: " fName$

20 INPUT "Middle name: " mName$

30 INPUT "Last name: " lName$

40 PRINT lName$," ",mName$," ",fName$

50 END

Explanation:

This prompts the user and gets input for first name

10 INPUT "First name: " fName$

This prompts the user and gets input for middle name

20 INPUT "Middle name: " mName$

This prompts the user and gets input for last name

30 INPUT "Last name: " lName$

This prints the output in the required format

40 PRINT lName$," ",mName$," ",fName$

This ends the program

50 END

For what purpose do the hackers create the zombies army?

A. DDoS Attacks
B. DoS Attacks
C. Warm Attacks

Answers

Answer:

A. DDoS Attacks

Explanation:

A zombie, in computer terminology, is a hacker, computer worm, trojan horse, or virus compromised internet connected computer, which can be remotely directed to perform malicious tasks

E-mail spams and denial-of-service, DoS attacks are spread and launched by botnets of zombie computers

Botnets which are also known as "zombie army", are used by hackers mainly for spam and distributed-denial-of-service, DDoS, attacks

While a DoS attack involves one machine, while a DDoS attack consist of multiple computing devices and machines

A botherder is the originator of a botnet and common botnets include Mr Black. Pushdo, and cyclone

What is the Full form of DC?

Answers

Answer:

Deputy Commissioner.

Answer:

the full form of DC is deputy commissioner

This type of mutation occurs when one or more base pairs are added to the gene sequence.

Answers

genetic mutation or engineering

explanation
i think i got it right
two sequences of base pairs

Your motherboard has two memory slots and supports a maximum of 8 GB of RAM. After installing two 4 GB modules and booting your system, you find that Windows only recognizes 3.5 GB of RAM. What should you do?

A. Upgrade to a 64-bit version of Windows.
B. Change the memory timings in the BIOS to a slower (higher) setting
C. Return both modules for a replacement
D. Reboot the computer and run memory diagnostic tests on the memory
E. Make sure that both modules are seated properly in their slots.

Answers

Answer: A. Upgrade to a 64-bit version of Windows.

Explanation: In this situation, you are most likely using a 32-bit version of Windows, which can only address a maximum of 4 GS of RAM. Some of the 4 GB is used by drivers hence it only reports 35 GB of System RAM. Upgrading to a 64-bit version of Windows should fix the problem.

The BIOS should display the total amount of system memory during POST. If it does not count the proper amount of memory, verify that the memory is inserted correctly. In most cases, you will not need to change the memory timings. When you do it is typically because the system is unstable or crashes. Testing memory helps you identify when specific memory storage locations are going bad. Device Manager will not enable memory not recognized by the BIOS.

Explanation:

We should upgrade to a 64-bit version of Windows. Hence option A is correct.

What is Windows?

Windows is defined as a collection of different proprietary graphical operating system families that Microsoft has created and is promoting. Microsoft Windows is a personal computer operating system (OS) created by the Microsoft Corporation. It is also known as Windows and Windows OS (PCs).

Most likely, you are using a 32-bit version of Windows in this case, which can only address up to 4 GS of RAM. It only reflects 35 GB of system RAM since some of the 4 GB are being consumed by drivers. The issue should be resolved by upgrading to a 64-bit version of Windows. You can detect whether particular memory storage places are failing by testing the memory. Memory that is not recognized by the BIOS will not be enabled by Device Manager.

Thus, we should upgrade to a 64-bit version of Windows. Hence option A is correct.

To learn more about Windows, refer to the link below:

https://brainly.com/question/13502522

#SPJ5

Soluciónes tecnológicas cáseras para combatir los rezagos del corona virus

ayuda porfa
pongo corona

Answers

Explanation:

Los cielos: se están enviando drones para responder al brote en todo el país. Desde patrullar los pasillos con altavoces que advierten a los residentes que usen máscaras, hasta pasar por las calles con carteles de códigos QR que los conductores pueden escanear con sus teléfonos para registrar información médica; Los drones permiten a las autoridades obtener información más rápido y, al mismo tiempo, mantener una distancia segura mientras realizan sus funciones. Los drones agrícolas también están rociando desinfectantes en áreas remotas, mientras que otros se han utilizado para entregar suministros médicos cruciales. Los drones utilizados para rociar desinfectante en las calles de la ciudad son 5 veces más eficientes que la pulverización manual 3. Nuestros teléfonos: los teléfonos inteligentes desempeñan un papel fundamental en la reducción de la exposición. Las aplicaciones de entrega ofrecen entrega sin contacto, mediante la cual los conductores dejan la comida en un punto específico, incluida una tarjeta que indica la temperatura de todos los involucrados en cocinar y entregar la comida. Otro ofrece a los usuarios mapas que marcan comunidades residenciales con casos confirmados y su proximidad a ellos. Mientras tanto, las aplicaciones de pago móvil están reduciendo la transmisión a través del papel moneda, que puede transportar virus hasta por 17 días. Con la penetración más alta del mundo de billeteras electrónicas y dos de los pagos móviles más grandes del mundo, la tecnología china está ayudando a frenar la propagación del coronavirus.

Enfermeras robotizadas y diagnósticos de inteligencia artificial: los robots también se utilizan en muchos hospitales chinos para entregar alimentos, medicamentos y otros suministros a los pacientes; desinfectar hospitales y otras áreas públicas; para controlar la temperatura de los pacientes; y para responder preguntas comunes. El coronavirus se diagnostica mediante IA, que puede leer miles de tomografías computarizadas en 20 segundos con una tasa de precisión del 96%.

State two pieces of information that need to be labeled on the idea development sketch. 1 .________________________________________________. 2 .___________________________________________.​

Answers

Answer:

Design drawings should show details on layout, measurements, plan, cross-sectional and vertical profiles. This information is prepared as scale drawings of the works to be constructed. they are legible  they include all information from previous revisions and updates.

Explanation:

I need help in raft survival ocean nomad I was traveling and now I can't enter the island or go back home (raft). Please help me

Answers

Answer:

Raft Survival : Ocean Nomad is a survival game

Explanation:

The raft survival ocean nomad is a survival video game that is developed by a Swedish developer,  Redbeet Interactive. This game is published by Axolot Games.

In the game the player is moving in a raft in the middle of an ocean searching for his family. It is a survival and strategy game. The player needs to survive in the deserted ocean by whatever he finds and collect from the ocean and also protect himself from the attacks of the sharks.

The player moves by a small island which he can explore to eat something or collect other items to developed his raft.

In the context, if you can not enter the island or go back to the raft, then save the game at that point and press the escape button to start from the first.

In this way, you can refresh the game and start he game again to enter the island.

Use the drop-down menus to complete statements about options for inserting video files.
V is a point of interest in a video clip that can trigger animations or provide a location that a user
can jump to quickly.
The Embed Code command will link an online video to a presentation and requires
to work.
Recording mouse actions and audio is done by using the
command.

Answers

Answer:

1 book mark

2 internet connection

3 inset screen

Explanation:

because

In cell K2 enter a formula using the IF and OR functions, as well as structured references, to determine if Adam Moriarty can be a group leader. a. The IF function should first determine if the staff member’s Service Years is greater than 3 OR if the staff member’s college graduate status is "Yes". Remember to use a structured reference to the Service Years and the College Graduate columns.

Answers

Solution :

The value of the K2 cell is filled by IF and OR functions with structured references as :

[tex]K2=IF(OR([CBF\ \text{Staff[ Service years]} > 3, \text{CBF Staff[College graduate]}="Yes"),"Yes","No")[/tex]

Now if the syntax of the formula is not provided, then we can use :

[tex]$K2=IF(OR([[\text{Service Years}]]>3,[[\text{College Graduate}]]="Yes"),"Yes","No")$[/tex]

The staff member are required to satisfy one of the two or both the conditions so as to become a group leader. The conditions are :

---   staff member should served for more than 3 years

--- staff members should be college graduate

Question 10 :In a word processor, you can use the Word Count function to:This task contains the radio buttons and checkboxes for options. The shortcut keys to perform this task are A to H and alt 1 to alt 9. A count the number of images and animations in a document. B count the number of index entries in a document. C count the number of lines and paragraphs in a document. D count the number of primary and secondary headers in a document.

Answers

Answer:

C. count the number of lines and paragraphs in a document.

Explanation:

A word processor or word processing software application is a type of software designed to enable its users type, format and save text-based documents such as .docx, .txt, and .doc files. Some examples of a word processor are Microsoft Word, Notepad, Sublime text, etc.

In Microsoft Word, the number of words and pages you type in a document are automatically counted and displayed on the status bar at the left-bottom of the workspace.

Basically, you can use the Word Count function of a word processor to count the number of lines, pages, words, characters, and paragraphs in a text-based document.

essay on personal assistants

Answers

Answer:

Explanation:

Personal assistants are hired to work very closely and directly to an individual such as a manager or top ranking persons who are usually very busy and have lots of several different tasks to attend to. The personal assistant would be seen as a person who posses the right multitasking skill, good communication skill and good interpersonal relationship skills can p handle administrative duties, respond to calls and visitors who may need to see the boss, give savvy response to cliemts and visitors and a good fre of mind to ensure that all scheduled lettings, appointments, travels are clearly noted to avoid missing important schedules. Depending on the preference of the manager or boss, they may be need to make specific gender representation of the personal assistant required. Also, some have designated some jobs to suit a certain gender more than the other as the favouured gender gets considered ahead of the other during the application process for jobs of such nature.

Write a pseudocode to calculate the factorial of a number

Answers

Answer:

Answer CODE from C# Sharp  Language

Explanation:

using System;

namespace test

{

   class Program

   {

       public void silnia()

       {

           decimal liczba;

           decimal silnia = 1;

           Console.WriteLine("Obliczanie Silni ");

           Console.WriteLine("Podaj liczbę: ");

           liczba = Convert.ToInt32(System.Console.ReadLine());

           //liczba = int.Parse(Console.ReadLine());

           for (int i = 1; i <= liczba; i++)

               silnia *= i;

           Console.WriteLine("Wynik Silni Wynosi :  " +silnia +" \n ");

       }

       static Program ćwiczeniaA;

       static void Main(string[] args)

       {

           ćwiczeniaA = new Program();

           ćwiczeniaA.silnia();

       

           Console.WriteLine("Koniec Programu");

           System.Console.ReadLine();

       }                                

   }

}

what is spyware and what is it function?​

Answers

Explanation:

Spyware is a type of malicious software -- or malware -- that is installed on a computing device without the end user's knowledge. It invades the device, steals sensitive information and internet usage data, and relays it to advertisers, data firms or external users.


1.can you identify the materials needed in making simple doorbell ???

2.what is the use of each material or tool needed in making simple doorbell?????

pakianswer po ng maayos​

Answers

Answer:

1. rotary tool, spray paint, light, drill,

Explanation:

a diagram of a flow chart to find the average of 10 numbers​

Answers

Answer:

Kindly check attached picture

Explanation:

Flowchart gives a graphical representation of a steps taken towers the execution of a program.

In the flowchart attached, A variable was initialized and set to 0 ; then a for loop was used to iterate integers 1 up to 10, for each number. It is added to the initialized variable sum until all the 10 integer numbers are added. The the average is obtained by dividing by 10.

A chart is used to represent ______ data in pictorial form
Computer question
From the chapter ms excel pls answer!!

Answers

Answer:Pictorial form is also called a pictogram

why is computer system maintenance important​

Answers

Answer:

Because it helps your computer to have better performance and last longer

Explanation:

help please asap please l​

Answers

Answers:

(a) Processor type

(b) Processor speed

(c) Display size

(d) Resolution

(e) Drive size

(f) Memory size

(g) Memory type

(h) Available interfaces

(i) Operating system

(j) Utilities

♛ Mark me as Brainliest if I’m right

Convert the algebraic expression below to C++ statement Do not use the pow function. Ans = 5x^2 + 15k + y^-2

Answers

Answer:

The C++ statement for the given algebraic expression 5x^2 + 15k + y^-2 is ( ( 5 * ( x * x ) ) + ( 15 * k ) + ( 1 / ( y * y ) ).

Explanation:

To convert the given algebraic expression 5x^2 + 15k + y^-2 into the C++ statement without using the pow function is:

In the given algebraic expression, there are three expressions combined using the + operator.

The first algebraic expression is 5x^2.

Here, x has a power of 2, and 5 is multiplied by the result of x^2. x having the power of 2 means x is multiplied itself twice. The C++ statement for this algebraic expression is (5 * ( x * x)).

The second algebraic expression is 15k.

Here, 15 is multiplied by k. The C++ statement for this algebraic expression is (15 * k).

The third algebraic expression is y^-2.

Here, x has a power of -2. it means [tex]1/y^{2}[/tex].  The C++ statement for this algebraic expression is (1/ (y * y).

The combination of all the three C++ statement is (5 * ( x * x)) + (15 * k) + (1/ (y * y).

Match each career to its various job roles. digital media coordinator digital media specialist photographer sound producer creates audio and video content for websites arrowRight records and modifies sound and music for video games and movies arrowRight posts content on the Internet arrowRight captures images and edits the images in graphic design software arrowRight

Answers

Answer:

1. Digital media coordinator.

2. Sound producer.

3. Digital media specialist.

4. Photographer.

Explanation:

1. Digital media coordinator: he or she is saddled with the responsibility of creating audio and video content for use on websites.

2. Sound producer: he or she records and modifies sound and music for video games and movies through the use of specialized software application such as fruity loops.

3. Digital media specialist: he or she is saddled with the responsibility of posting content such as news, pictures, graphic designs, etc., on the Internet.

4. Photographer: he or she captures images using a camera or camcorder and edits the images using a graphic design software such as Adobe Photoshop.

A sum of money is shared between 2 friends in the ratio 2 : 3. If the larger

share is $450. What is the total sum shared?

Answers

300! Is the answer for this problem. 450 is the bigger sum, and that’s the 3 part of the ratio. So when we divide 450 by 3 it gives us 150. 150 is what one point on the ratio stands for. We’re looking for what 2 points on the ratio is, so 150*2 which gives us 300 … hope this helps

what is the difference between coding with html and coding with python

Answers

Answer:

Python is an object-oriented programming language that is designed to be accessible and simple for all users, HTML is a web language and is used globally to define the structure of web pages by using various tags. HTML is not a programming language it's a markup language which is used to formatting web pages. Python is a general purpose scripting language which can be used to develop a wide range of programs.

Which scenario would most benefit from a self-join query?
a. a query connecting customers and products
b. a query connecting supervisors and customers
c. a query connecting employees and their orders
d. a query connecting employees and their supervisors

Answers

Answer:

answer is D

Explanation:

Just did it on edge

>What is the output of the following code:

list1 = [ 'cyber', 786 , 2.23, 'square', 70.2 ]
print (list1[1] )

Answers

Answer:

Given code output is "786".

Explanation:

Code:

list1 = [ 'cyber', 786 , 2.23, 'square', 70.2 ]#defining a list list1 that holds value in parameter

print (list1[1] )#use a print method that prints list index value

In the given code a list "list1" is declared that holds value in it and in the next step a print method is declared that prints the first index value of the list.

Other Questions
1. Given that (27 ^ (n + 3))/(81 ^ (p - 1)) = 3 , express p in terms of h. What is the length of the line segment joining the points A(3, - 5) and B(-5,1)? ______________________________ led a movement for independence from Britain through a campaign of satyagraha, or ________________________________________, which forbade protesters to act with violence toward any attacker or _____________________________________; ________________________________ and his followers came to believe that their oppressors should be led to the truth of their ____________________actions through patience and non-violence, that ________________________________________________________________________ even to gain a good end; Which is a step in the research process What is the probability that they both choose a card labeled dog? What are altitudes? help pls What provided jobs but long hours, low pay, & dangerous working conditions find the next two terms. & choose the correct type of sequence. Chef Antonio works at a Latin restaurant and doing a great job. During his yearly evaluation, the owner increased his salary from $42,500 to $46,000. What is the percent of increase, to the nearest whole percent, in Chef Antonio's salary? A 92-kg man climbs into a car with worn out shock absorbers, and this causes the car to drop down 4.5 cm. As he drives along he hits a bump, which starts the car oscillating at an angular frequency of 4.52 rad/s. What is the mass of the car ?A) 890 kg B) 1900 kg C) 920 kg D) 990 kg E) 760 kg 3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM? What is the intended "irony" of the anti-John Stuart Mill political cartoon on slide 8 (if you think about it, it's adouble irony)?A) "Pray clear the way, there, for these-a-persons"B) Women earned the right to vote in the United States in 1920, about 50 years after this cartoonC) That John Stuart Mill is so logical and yet he still thinks that women should be able to vote.D) That John Stuart Mill isn't that tall. 5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6). How were the governments of Japan and Italy similar in the 1930s? Check all that apply.Both were headed by groups of military leaders.Both used extreme nationalism to win support.Both were supported by citizen armies.Both began programs of aggressive expansion.Both were known as militarist governments. Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer for every positive integer n. Derek sold her house for $541,600, which was 140% of the amount she paid for it.Calculate the amount she paid for the property. The student wants to see the cells at a greater magnification. Describe the steps that she should take. Several years ago, Judy purchased a $1,000 par value corporate bond in the secondary market for $965. Although the bond still has several years until maturity, similar bonds in the marketplace are now selling at a premium with a market price of $1,065. If Judy were to sell her bond, how much, if any, would be treated as a capital gain 6) " - Pls help me with this equation