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?For the following exercises, prove the identities provided.\(\frac{\cos (x+h)-\cos

Chapter 9, Problem 51

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QUESTION:

For the following exercises, prove the identities provided.

\(\frac{\cos (x+h)-\cos x}{h}=\cos x \frac{\cos h-1}{h}-\sin x \frac{\sin h}{h}\)

Text Transcription:

cos (x + h) - cos x / h = cos x cos h - 1 / h - sin x sin h / h

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QUESTION:

For the following exercises, prove the identities provided.

\(\frac{\cos (x+h)-\cos x}{h}=\cos x \frac{\cos h-1}{h}-\sin x \frac{\sin h}{h}\)

Text Transcription:

cos (x + h) - cos x / h = cos x cos h - 1 / h - sin x sin h / h

ANSWER:

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To prove the identity:

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