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

Question

If 3 cos 2 x = 3 - 1 cos x + 1 , then number of solutions of the given equation when x &#8712; 0 , &#960; 2 is ________.

Aicharya · Accepted Answer

3 cos x 2 - 3 cos x + cos x - 1 = 0 &#8658; 3 cos x + 1 cos x - 1 = 0 &#8658; cos x = 1 or cos x = - 1 3 (reject) &#8658; x = 0 only Hence, only one solution.

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

Solution

If 3 cos 2 x = 3 - 1 cos x + 1 , then number of solutions of the given equation when x &#8712; 0 , &#960; 2…

Solution

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