The identitysin-1x+cos-1x=P>2Figure 1.68 establishes the

Chapter 1, Problem 1.6 76

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The identitysin-1x+cos-1x=P>2Figure 1.68 establishes the identity for 06x61. To establish it for the rest of 3-1, 1],verify by direct calculation that it holds for x=1, 0, and -1.Then, for values of x in (-1, 0), let x=-a, a70, and apply Eqs. (3) and (5) to the sum sin-1(-a)+cos-1(-a).

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