solve problem

Question

Find the exact value in radians of the expression.

 

SIN^{-1 (√3/2)=}

Answer 1

From a 30-60-90^o right triangle, we know that sin(60^o) = √3/2.  Hence sin^-1(√3/2) = 60^o.  To convert to radians:

 

     60^o/180^o = x radians/pi radians

 

     pi/3 radians = x