math problem I dont get it

Question

Consider the equation 10cos²x=83sinx−34 . There are two values of x in the interval [0,2π] that satisfy this equation. Find those values.

Note:Write the exact value but not the approximate value(for example write 4/5 but not 0.8). Write Pi, pi or π if your answer contains π.

1.Write the smaller value of x in the interval [0,2π] that satisfy the equation.

2.Write the bigger value of x in the interval [0,2π] that satisfy the equation

please help I don't get this

Answer 1

10 cos² x = 83 sin x - 34

19 (1 - sin² x) = 83 sin x - 34

Now solve for x using facotring of quadratics - from Algebra 2.