Principal Branches of Sine and Cosine Problem: Figure 2-5f shows the principal branch of

Chapter 2, Problem 7

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Principal Branches of Sine and Cosine Problem: Figure 2-5f shows the principal branch of y = sin as a solid line on the sine graph. Figure 2-5g shows the principal branch of y = cos as a solid line on the cosine graph. a. Why is neither the entire sine function nor the entire cosine function invertible? b. What are the domains of the principal branches of cosine and sine? What property do these principal branches have that makes them invertible functions? c. Find = sin1 (0.9). Explain why the answer is a negative number.

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