Trigonometry equation

Question

Solve the trigonometric equation 5sinx + 3 = 0 for the value of x from 0 to 360.

Answer 1

5sinx = -3

sinx =-3/5 which is in either quadrant III or IV

x = 180 + sin^-1(3/5) or 360 - sin^-1(3/5)

sin^-1(3/5) = 36.87 degrees

x = 180+36.87 =216.87 degrees

or 360-36.87 = 323.13 degrees