100 point please help. It's not 28 or 52

Look at the image. (calculus)

mash [69]

<h3>Answer: Choice H) 2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is $\sin^2 x + \cos^2x = 1$

If we were to isolate sine, then,

$\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\$

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, $\cos x = \sqrt{1-\sin^2x}\\\\$

Cosine is also positive in this quadrant.

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So,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2$

Therefore,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2$

is an identity as long as 0 < x < pi/2

5 0

2 years ago

Read 2 more answers

Find the product of 30−−√ and 610−−√. Express it in standard form (i.E., ab√).

Zina [86]

we are given

$\sqrt{30} *\sqrt{610}$

we can radical formula

$\sqrt{a} *\sqrt{b}=\sqrt{a*b}$

we get

$\sqrt{30} *\sqrt{610}=\sqrt{30*610}$

$\sqrt{30} *\sqrt{610}=\sqrt{3*61*100}$

we can also write as

$\sqrt{30} *\sqrt{610}=\sqrt{100}*\sqrt{3*61}$

$\sqrt{30} *\sqrt{610}=10\sqrt{183}$ ............Answer

7 0

3 years ago

Read 2 more answers

4x + 8y = 16<br> 4x-8y = 0

balandron [24]

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

3 0

3 years ago

There are 24 people using a gun. the ratio of men to women is 2 : 1. how many men are using the gym

Arada [10]

The number of men using the gun is <u>8</u>, using the given ratio of men to women as 2:1.

In the question, we are given that the ratio of men to women using a gun is 2:1, and a total of 24 people use a gun.

We are asked to find the number of men using the gun.

By the given ratio, we take the number of men using a gun to be 2x, whereas the number of women using a gun is x.

Thus, the total number of people using the gun = the number of men using a gun + the number of women using the gun,

or, the total number of people using the gun = 2x + x = 3x.

But, the total number of people using the gun is given to be 24.

Thus, we get an equation 3x = 24.

On solving this, we get:

3x = 24,

or, 3x/3 = 24/3,

or, x = 8.

Now, the number of men using a gun = 2x = 2*8 = 16.

The number of women using a gun = x = 8.

Thus, the number of men using the gun is <u>8</u>, using the given ratio of men to women as 2:1.

Learn more about ratios at

brainly.com/question/1549809

#SPJ4

3 0

2 years ago

-6= 21 - n<br> What is n?

Katarina [22]

Hey there! :)

If you switch it around, it becomes: n + -6 = 21, which is also equal to:

21 - (-6) = 21 + 6 = 27
(Negative and negative together makes positive)

n = 27

Hope this helps :)

4 0

3 years ago

100 point please help. It's not 28 or 52​

100 point please help. It's not 28 or 52