a. Explain how the identities 1 1 tan2 u 5 sec2 u and cot2 u 1 1 5 csc2 u can be derived

Chapter 12, Problem 2

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a. Explain how the identities 1 1 tan2 u 5 sec2 u and cot2 u 1 1 5 csc2 u can be derived from the identity cos2 u 1 sin2 u 5 1. b. The identity cos2 u 1 sin2 u 5 1 is true for all real numbers. Are the identities 1 1 tan2 u 5 sec2 u and cot2 u 1 1 5 csc2 u also true for all real numbers? Explain your answer.

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