Question
Asked Oct 13, 2019
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Show that the following is true.
sin(x
프2
= -COS X
We begin on the left side of the equation by using a Difference Formula. We can then final all exact values and
simplify
sin(x -2
(sin x) cos
- (cos x) sin
(sin x)
- (cos x)(1)
= -COS X
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Show that the following is true. sin(x 프2 = -COS X We begin on the left side of the equation by using a Difference Formula. We can then final all exact values and simplify sin(x -2 (sin x) cos - (cos x) sin (sin x) - (cos x)(1) = -COS X

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Expert Answer

Step 1

Given:

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sin x 2 - cos x

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Step 2

Identity used:

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sin A cos B - cos A sin B sin(A - B)

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Step 3

According to question starting with...

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sin x = sinx cos 2 cosx-sin 2 2 sin x 0, sin 2 = sin x x 0- cosxx1 2 -1 2 cos sinx 2 =_

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Math

Trigonometry

Trigonometric Ratios

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