find the two possible of x if 10sinx = 6 and 0 <=x<=180

sinx = 3/5
x = sin^-1(.6)

1 answer

sin x = 6 / 10 = 3 / 5

First solution:

x = sin^-1 (0.6) = sin^-1 ( 3 / 5 )

x = 36.86989765°

Second solution:

Use identity:

sin ( 180° - x ) = sin x

sin ( 180° - 36.86989765° ) = 3 / 5

sin ( 143.13010235°) = 3 / 5