Solve the following equations for x if 0 ≤ x ≤ 2𝜋

Question

-2 + 10 sin (x-1) = 5

Answer 1

-2 + 10sin(x-1) = 5

10sin(x-1) = 7

sin(x-1) = 7/10

x-1 = sin^-1(.7) = 44.427= 44.427pi/180 = .2468pi or pi-.2468pi = .7532pi

x = 1+.2468pi or 1+.7532pi radians

= about 1+.2468(3.1416) or 1+.7532(3.1416)

= about 1.78 or 3.37 radians