Use the inverse trigonometric identities to find the exact value of the expressi

Question

Use the inverse trigonometric identities to find the exact value of the expression below. sin [pi/4 - cos^-1 (- 1/Squareroot 2)] Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sin [pi/4 - cos^-1 (- 1/Squareroot 2)] = sin [pi/4 + cos^-1 (1/Squareroot 2)] = sin [pi/4 - cos^-1 (- 1/Squareroot 2)] = sin [pi/4 + (pi - cos^-1 (1/Squareroot 2))] = sin [pi/4 - cos^-1 (- 1/Squareroot 2)] = sin [pi/4 - (pi - cos^-1 (1/Squareroot 2))] = sin [pi/4 - cos^-1 (- 1/Squareroot 2)] = sin [pi/4 - cos^-1 (1/Squareroot 2)] =

Explanation / Answer

sin[(/4)-cos-1(-1/2)]

=sin[(/4)-(-cos-1(1/2))]

=sin[(-3/4)+cos-1(1/2))]

=sin[(-3/4)+(/4)]

=sin(-/2)

=-sin(/2)

=-1

sin[(/4)-cos-1(-1/2)]=-1

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