Please write clearly Evaluate the expression sin1 cos pi3 Gi

Please write clearly

Evaluate the expression sin^-1 (cos (pi/3)). Give your answer as an exact value

Solution

Solution:

Let /3 is equivalent to 60 deg because /3 radians * 180/ = 180/3 = 60 degrees. cos (/3) = cos(60) = 1/2

sin^-1 (cos (/3)) = sin^-1 (1/2) = /6 or 30 deg