SOLUTION: evaluate the following: sin^-1 (Cos 2pi/3)

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Question 543342: evaluate the following:
sin^-1 (Cos 2pi/3)
Answer by lwsshak3(11628) About Me  (Show Source):
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evaluate the following:
sin^-1 (Cos 2pi/3)
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Cos (2π/3) =-1/2 ( reference angle of π/3 in quadrant II where cos<0
sin^-1 (Cos 2pi/3)=sin^-1 (-1/2)=-π/6
note: domain of sin^-1 is [-π/2,π/2]