Physics problem: Refraction

Solve:  1.33 · sin(30)  =  1.00 · sin(x)

As with any equation, clean up all the numbers:

             1.33 · 0.50  =  1.00 · sin(x)

                      0.665  =  sin(x)

                      sin(x)  = 0.665

 

To get rid of sin, use the inverse sin (which is sin^-1):

          sin^-1( sin(x) )  =  sin^-1( 0.665 )

Since  sin^-1( ) cancels sin( ):

                             x  =  sin^-1( 0.665 )

                             x  =  41.68^o