In Exercises 7174, powers of trigonometric functions are rewritten to be useful in

Chapter 6, Problem 72

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Examples from Calculus In Exercises 71-74, powers of trigonometric functions are rewritten to be useful in calculus. Verify the identity.

\(\sec ^{4} x \tan ^{2} x=\left(\tan ^{2} x+\tan ^{4} x\right) \sec ^{2} x\)

Text Transcription:

sec^4 x tan^2 x = (tan^2 x + tan^4 x)sec^2 x

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