Question

Solve :2 sin^2 x= 3 cos x​

Answer 1

Answer:

x = 180°  or x = 120°

Step-by-step explanation:

2 sin² x= 3 cos x​

We know that , sin²x + cos²x = 1

∴ sin²x = 1 - cos²x

Putting this in given equation ,

2 (1 - cos²x) = 3 cos x

∴ 2 - 2 cos²x - 3 cos x = 0

⇒ 2 cos²x + 3 cos x - 2 = 0

Take cos x = m

∴ 2m² + 3m - 2 = 0

∴ m = -1 or m = -1/2

∴ cos x = -1 or cos x = -1/2

∴ x = 180°  or x = 120°