simplify the equation by putting it into sin(ax)=b form and using the inverse sin to solve for x

Question

give the exact answer and the decimal answer

8=9sin(6x)

Answer 1

9 sin(6x) = 8

sin(6x) = 8/9 [this is the sin(ax) = b form]

6x = sin^-1(8/9)

x = (1/6) sin^-1(8/9)

This is the exact answer. Use your calculator to get a decimal answer.

Answer 2

x = sin^-1(b / a )

6x = sin^-1(8 / 9) = 62.7339555