Sec x -tan x sin x =1/secx

Help me prove it

Answers

Answer 1

Answer:

L.H.S. = [tex]\frac{1}{cosx} -\frac{sinx}{cosx}sinx[/tex]

= [tex]\frac{1}{cosx} - \frac{sin^2x}{cosx}[/tex]

= [tex]\frac{1-sin^x}{cosx} = \frac{cos^2x}{cos x}[/tex]

= cos x = 1/secx

Answer 2

Step-by-step explanation:

Hey there!

Given;

sec x - tan x . sin x = 1/(sec x).

~ Taking LHS.

= sec x - tan x . sin x

= 1/(cos x) - (sin x/cos x) . sin x { Using formula sec x = 1/cos x and tan x = (sin x/cos x)}

~ Multiply (sin x) and (sin x).

[tex] = \frac{1 - { (\sin(x) )}^{2} }{ \cos(x) } [/tex]

~ Use formula 1-sin²x= cos²x

[tex] = \frac{ {cos}^{2} x}{ \cos(x) } [/tex]

~ Cancel cos x.

= cos x

= 1/sec x { cos x = 1/sec x}

→ RHS proved.

Hope it helps.....


Related Questions

The side opposite from the right angle is called

Answers

Answer:

The side opposite from the right angle is called the hypotenuse.

Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class

Answers

Answer:

5

Step-by-step explanation:

he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class

Answer:

5

Step-by-step explanation:

 bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi

Please help me I’m begging u it’s due in 10 minutes!!

Answers

Answer:

y= -1

Step-by-step explanation:

subtract, so x cancels out.

you are left with 2y=-2

y= -1

Answer:

y = - 1

Step-by-step explanation:

x + y = 1 .......... (1)

x - y = 3 .......... (2)

(1) + (2)

2x = 4 ⇒ x = 2

2 + y = 1 ⇒ y = - 1

(2, - 1)

The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?

Answers

Answer:

2.20 dollars/mile

Step-by-step explanation:

Given the function:

y = 4.75 + 2.20(x-1)

Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;

m is the rate of change of the cost

From the function given:

y = 4.75 + 2.20(x-1)

Open the parenthesis

y = 4.75 + 2.20x -2.20

y = 2.20x + 2.55

On comparing with the standard

m = 2.20

Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile

PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?

Answers

Answer:

x the (x) value of the ordered pair, it is proportional.

Step-by-step explanation:

Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

find the measusre of the angles.

Answers

Answer:

1, 3, 5 =117

2, 4, 6, 7= 63

Step-by-step explanation:

Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27

Answers

It is B i’m pretty sure! I hope this is correct

5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál


es el grosor de una hoja?

Answers

Responder:

0,01 cm

Explicación paso a paso:

Dado que :

Un paquete de 100 hojas iguales = 1cm de alto

Esto significa que el grosor del paquete es de 1 cm de alto.

Dado que las hojas son iguales, el grosor de una sola hoja será:

(Espesor del paquete completo / número de hojas en el paquete)

(1 cm / 100)

= 0,01 cm

Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.

Esto problema é solucionado por proporciones, se utilizando de una regla de três.

Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?

La regla de três es dada por:

100 hojas - 1 cm

1 hoja - x cm

Aplicando multiplicación cruzada:

[tex]100x = 1[/tex]

[tex]x = \frac{1}{100}[/tex]

[tex]x = 0.01[/tex]

Por eso, el grosor de una hoja es de 0.01 cm.

Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636

Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
A.
12.4%

B.
24.7%

C.
32.1%

D.
62.3%

Answers

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer should be 90 :)

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

what is 4 1/2-3 5/6 from page 393 GO Math book

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

It is 1/6
This is the answer because

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

What is the range of the mapping?

Answers

The range of the mapping is 1,4

Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6

Answers

Answer:

Slope: -1, y-intercept: 2.

Step-by-step explanation:

3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

Pleaseee help!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

no

There are 7 cars in an amusement park ride. There are 42 people divided equally among the 7 cars. An equal number of people ride in each car. How many people ride in one car?

Answers

6 people ride in each car

Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.

Answer:

there will be 6 people per cart

Step-by-step explanation:

if u divide 42 the number of people by the number of carts u get 6 so 6 people per cart and

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

Pls help easy points

Answers

are you just looking for the green space or more

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

(-30i) +(52-30i) express your answer in the form (a+bi)

Answers

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?

Answers

Answer:

30 oranges

Step-by-step explanation:

2 apples : 5 oranges

12 apples : 30 oranges

because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.

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