Trigonometric Equation Help

sin^2(x) – 3sin(x) + 2 = 0 within [-4π, 4π]

Solution


Let y = sin(x)

Then the given equation becomes

y2 – 3y + 2 = 0

(y – 1)(y – 2) = 0

y = 1 (Note that 2 cannot be a value for a sine function)

x = arcsin(1) = π/2