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2 years ago

Teach me the process to do mean deviation .

Mathematics

1 answer:

hichkok12 [17]2 years ago

3 0

Find the mean of all values ... use it to work out distances ... then find the mean of those distances!

In three steps:

1. Find the mean of all values

2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

3. Then find the mean of those distances

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Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

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

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function?

Over [174]

The constant is 6. A constant is just the number on its own. Quadratics follow the form f(x) = ax^2+bx+c. The c is the constant.

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3 years ago

Through which two points could a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 c

vagabundo [1.1K]

Answer:

G and H

Step-by-step explanation:

just took the test in edg.

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3 years ago

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The length of a rectangle is 4 times its width. The perimeter of the rectangle is 50 cm long. What is the area of the rectangle?

Eduardwww [97]

The answer would be 100

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3 years ago

If cos theta = 0.5, find sec theta. A. 0.25 B. 0.5 C. 1 D. 2

Vsevolod [243]

Sec theta = 1/cos theta = 1/0.5 = 2

Option D is the correct answer.

4 0

3 years ago

Teach me the process to do mean deviation .​

Teach me the process to do mean deviation .