Solve 6 sin2 x 5sinx 1 0 for all solutions 0 lessthanoreq

Solve 6 sin^2 (x) - 5sin(x) + 1 = 0 for all solutions 0 lessthanorequalto x lessthanorequalto 2 pi Give your answers accurate to 2 decimal places, as a list separated by commas

Solution

Given equation is

6*sin^2 x - 5*sin x + 1 = 0

Let sin x = y

Then 6y^2 - 5y + 1 = 0

y = sin x = 0.5, 0.3333

sin x = 0.5========> x = 30, 150

sin x = 0.3333 =========> x = 19.5, 160.5