If 3 cos 2 x = 3 - 1 cos x + 1 , then number of solutions of the given equation when x ∈ 0 , π 2 is ________.

Step-by-step solution

3 cos x 2 - 3 cos x + cos x - 1 = 0 ⇒ 3 cos x + 1 cos x - 1 = 0 ⇒ cos x = 1 or cos x = - 1 3 (reject) ⇒ x = 0 only Hence, only one solution.