Please see photo: Evaluate the following expressions. Your answer must be an ang

Question

Please see photo: Evaluate the following expressions. Your answer must be an angle -pi/2 lessthanorequalto theta lessthanorequalto pi in radians, written as a multiple of pi. Note that pi is already provided in the answer so you simply have to fill in the appropriate multiple. E.g. if the answer is pi/2 you should enter 1/2. Do not use decimal answers. Write the answer as a fraction or integer. sin^-1 (sin((-7pi/4)) = pi sin^-1 (sin(-pi/3)) = pi cos^-1 (cos(pi/6)) = pi cos^-1 (cos(3pi/4)) = pi You have attempted this problem 0 times. You have unlimited attempts remaining.

Explanation / Answer

sin^-1 ( sin ( - 7pi/4 )) =

sin^-1 (1 / sqrt 2 )

= pi/4

= 1/4 (pi)

2) sin^-1 ( sin (-pi/3))

sin (-pi/3 ) = - sqrt 3/2

sin^-1 ( - sqrt 3/2 )

= 1/3 (pi)

3) cos ^-1 ( cos (pi/6))

cos pi/6 = sqrt 3/2

cos^-1 ( cos pi/6 )

= 1/6 (pi )

4) cos^-1 ( cos (3pi/4))

cos 3pi/4 = -1 / sqrt 2

cos^-1 ( -1/sqrt 2)

= 3/4 (pi)

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