Question

Write each expression as a single trigonometric function. $$\cos (\pi-x) \sin x+\sin (\pi-x) \cos x$$

          Write each expression as a single trigonometric function.
$$\cos (\pi-x) \sin x+\sin (\pi-x) \cos x$$

Added by Andr-S W.

Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert H M

Step 1

First, we can use the angle subtraction formulas for cosine and sine: $$\cos(\pi - x) = -\cos(x)$$ $$\sin(\pi - x) = \sin(x)$$ Now, substitute these into the given expression: $$-\cos(x) \sin(x) + \sin(x) \cos(x)$$ Show more…

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Write each expression as a single trigonometric function. $$\cos (\pi-x) \sin x+\sin (\pi-x) \cos x$$

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Write each expression as a single trigonometric function. $$\cos (\pi-x) \sin x+\sin (\pi-x) \cos x$$

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