Verify the identity.

[tex]cot (x-\frac{\pi }{2})=-tan[/tex]

Answers

Answer 1

Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x

Verify The Identity.[tex]cot (x-\frac{\pi }{2})=-tan[/tex]

Related Questions

Why is it useful to have different forms of linear equations?

Answers

It is also useful because we can read the slope and y-intercept from the equation. Often, when we are given equations in other forms, we can rewrite it in slope-intercept form to get the slope and y-intercept.

Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

Read more about linear equations at:

https://brainly.com/question/17895632

Select two choices that are true about the function f(x)=23x+14/x

Answers

Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statement
regarding fa) and g(x)?
The two functions have no points in common
The two functions have the same initial value
The two function have opposite output values of each other for any given input value
The graph of the two functions would look exactly the same
Intro

Answers

Answer:

The two functions have the same initial value

I’m having a lot of trouble, can someone guide me, step by step?

Answers

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

Is the collection of nice Nepali songs a set ? Why ?​

Answers

Answer:

kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.

Answer:

Is the collection of nice Nepali songs a set ? Why ?

=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .

Find the measure of the indicated angle.

Answers

Answer:

Does the answer help you?

Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.

Answers

Answer:

the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.

Find x.

A. √-2
B. 4
C. √2/2
D. √6/2

Answers

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

can someone please help me solve this?

Answers

Answer:

-15

Step-by-step explanation:

df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =

lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15

so, the first derivative of f(x,y) by y is simply a constant : -15

fy (x, y) = -15 for any and every values of x and y.

the fast track would be derivative calculation :

the derivative by y makes x a constant. and every constant is eliminated for derivation.

so, e^x^2 goes away (= 0 in the derivative).

that leaves -15y = -15×y¹. its derivative simply is

1×-15×y⁰ = -15

Help me please and thank you

Answers

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

express p/q form of 0.375​

Answers

Answer:

15/40

Step-by-step explanation:

[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]

Identify the glide reflection rule in the given figure.

Question 8 options:

Translation: (x,y) → (x – 5,y); Reflection across y-axis


Translation: (x,y) → (x,y – 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across x-axis

Answers

Answer:

B

Step-by-step explanation:

The shape clearly is reflected across y axis and the x coordinates remain the same. We can see a change in the y coordinates and the shape has shifted 5 units down. Hence (x, y) -> (x, y-5) and then reflection across y axis is the answer

Answer:

B

Step-by-step explanation:

Find the surface area of each figure. Round your answers to the nearest tenth, if necessary ​

Answers

Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

2.) Find the measure of exterior angle X:

Answers

ANSWER:
try 110 , sorry if that’s wrong

Answer:

x = 90

Step-by-step explanation:

Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!

60 + 30 + b= 180

a + x = 180

60 + 30 + b= 180

90 + b = 180

b = 90

90 + x = 180

x = 90

Note:

exterior angle  equal to the sum of its two opposite non-adjacent interior angles.

please find y and round to the nearest 10th

Answers

Answer:

178.3 ft

Step-by-step explanation:

Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.

Answer:

y =178.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 27 = y/350

350 tan 27 = y

178.3339073=y

Round to the nearest tenth

y =178.3

a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?

Answers

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

1

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

Answer:

$3

Step-by-step explanation:

The grocery store pays $2.00 for each box of cereal bought.

First, find 50% of the cost of each box:

2.00 x 0.50 = 1.00

Next, add the additional amount to the starting price:

2.00 + 1.00 = $3.00

$3.00 is your answer.

~

I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).

Answers

Answer:

C= 100+ d*0.2

Step-by-step explanation:

Give data

Cost of rental = $100

Cost per km= $0.2

Total cost= C

Distance= d

Let us model the expression

Hence the expression is given as

C= 100+ d*0.2

help me with this math question please

Answers

The answer is 245.
44+56+60+85= 245 Which is the least needed to cover the expenses.

Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M​

Answers

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

5^-4 over 5^3
simplify
A. 5^7
B. 5^-1
C. 1/5
D. 1/5^7​

Answers

Answer:

D is the correct answer.

The number seventeen and seven thousand in decimal form is​

Answers

Answer:

17.00 and 17,000.00

this is your answer to ur question

The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem

Answers

Answer:

2 + 5p

Step-by-step explanation:

Hi there!

Let [tex]p[/tex] equal the number of points scored by the red team.

We're given:

The blue team scored two more than five times the number of points scored by the red team.

⇒ blue team points = 2 + (5 × red team points)

⇒ blue team points = 2 + 5p

I hope this helps!

Find the mean of the following 8, 12, 16, 10, 18, 15, 22, 16, 14, 17 ​

Answers

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]

This is the answer.

three decreased by the product of a number and two

Answers

3-2x should be the right answer

Convert 13pi/6 to a degree measure

A=390
B=2450.44
C=30
D=780

Answers

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

help me please!!! :)

Answers

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.

Answers

9514 1404 393

Answer:

  turning points

Step-by-step explanation:

The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.

The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.

Use the graph to find the constant of proportionality (unit rate)

Answers

Answer:

9) 10

10) 5

Step-by-step explanation:

.

Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.


ƒ(x) = 5,939,292 • (1.035)x

ƒ(x) = 5,739,879 • (0.965)x

ƒ(x) = 5,739,879 • (1.035)x

ƒ(x) = 5,739,879 • (0.035)x

Answers

Answer:

this is the same quiestion i was doing if u get answer plz send me

Other Questions
What is the difference between data and evidence???Helpppp! I will give brainliest! PLSSS! A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car. A central idea in The Code Book is the concern that much of the world's information is not secure. Which lines from thepassage best support this central idea? Check all that apply. The speculative demand for holding money is when people hold money:Group of answer choicesa: to take advantage of changes in interest rates.b: as insurance against unexpected needs.c: to transact purchases they expect to make.d: to speculate in the stock market.e: instead of near money. What is the value of X? HELP x^2= 14x +11------------ Company A charges a $125 annual fee plus $7 per hour car share fee.Company B charges $110 plus $10 per hour. What is the minimum number ofhours that a car share needs to be used per year to make company A a betterdeal?A. 6O B. 5C. 9D. 11SUBMITPREVIOUS As a river flows downhill carrying sediment, what happens when the river widens and slows down?O A. The largest particles are deposited.OB. The smallest particles are deposited.C. Larger particles are picked up by the current.D. Smaller particles are picked up by the current. Given that E=MC find E when M=20 and C =2.5 What is occurring during the flat section of the graph below on the red arrow labeled boiling, between liquid and gas? gas (3.) OO liquid temperature solid time (minutes) O A. Heat is being absorbed, allowing particles of the liquid to overcome the atmospheric pressure. B. Heat is being absorbed, allowing particles of the liquid to overcome the vapor pressure. C. Heat is being released, allowing particles of liquid to overcome the pressure, and is why the temp does not increase. D. The temperature is no longer increasing even though heat is still being added because the heat is being absorbed to lower the melting point A ball that has a mechanical energy of 65 J has 12 J of kinetic energy. The ball has J of potential energy What effects are produced on environment by industry? How does a fuse work?A. A material burns out when current is excessiveB. A material burns out when resistance is excessiveC. A material burns out when voltage is excessiveD. A material acts as a switch to prevent electricity from flowing when voltage is excessive What does it mean to say that contemporary psychology is part of a "cognitive revolution"? Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raisemoney for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00donation. If Chloe and Ethan raised the same amount of money, which of the following systemscould be used to find how many candy bars each sold? Explain the Achievements of the federal government in promoting tolerance across the UAE. HELP!!! I need to know if this is Function or not a function. help me please it's important!! Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.$45.000$53.000 Help me please Will give brainlist