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Bingel [31]
3 years ago
12

How to express cos 3x in terms of cosx

Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0
\cos3x=\cos(x+2x)=\cos x\cos2x-\sin x\sin2x
=\cos x(\cos^2x-\sin^2x)-2\sin^2x\cos x
=\cos^3x-\cos x\sin^2x-2\sin^2x\cos x
=\cos^3x-3\cos x\sin^2x
=\cos^3x-3\cos x(1-\cos^2x)
=\cos^3x+3\cos^3x-3\cos x
=4\cos^3x-3\cos x
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Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

f(1) = -2(1) + 4 = 2

f(1)=2

Use the equation to find slope.

m(slope) = \frac{2-4}{1-0} = \frac{-2}{1} = -2

<em>The slope would be -2.</em>

<em />

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

<em>The slope is -2.</em>

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3 years ago
Ty uses 20 ft of fence to divide into 4 equal parts all in one row. Each aware part is 2 feet long. What is the area of the gard
stich3 [128]

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Step-by-step explanation:

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3 years ago
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
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Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

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Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

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Thus, 168 inches is your answer! :)

Hope this helps! :)

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Alexeev081 [22]

Answer:

Step-by-step explanation:

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1.09x + 1.59y + 1.59z <== ur expression

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Answer:

See explanation

Step-by-step explanation:

Required

Effect of replacing f(x) with f(x - h)

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