Step-by-step explanation:
10 sin A = 3 sin A -7 (subtracting 16 from each side)
10 sin A - 3 sin A = -7 (subtracting 10 sin A from 3 sin A to simplify the equation)
7 sin A = -7 (dividing by 7 to get sin A)
sin A = -1
sin^-1(sin A) = sin^-1(-1) = [tex]\frac{3pi}{2}[/tex] = [tex]-\frac{pi}{2}[/tex](applying the inverse function of sin to cancel sin A to A)
A =[tex]\frac{3pi}{2}[/tex],[tex]-\frac{pi}{2}[/tex]
