Some trignonotry solver

Question

cos(pi/3)=sin(θ) and 0<θ<pi/2 then θ= _______ radians

Answer 1

pi/6

cos(pi/3) = sin(pi/2-pi/3) = sin(pi/6)

the cosine of an angle is the sine of the complement of the angle

cos60 = sin30 = sin(90-60)

Answer 2

You're essentially wanting to find θ. In order to do that, you would need to use sin^-1. By doing so, your equation would now be sin^-1(cos(pi/3)) = θ. Now solve for θ.