The number of solutions of the equation 4 sin^2 ⁡x-4 cos^3 ⁡x+9-4 cos ⁡x=0 ;x ∈ [-2 ,2 ] is :

Question

Accepted Answer

Correct answer: D. (d) 4 sin^2 ⁡x-4 cos^3 ⁡x+9-4 cos ⁡x=0 ;x ∈ [-2 ,2 ]4-4 cos^2 ⁡x-4 cos^3 ⁡x+9-4 cos ⁡x=04 cos^3 ⁡x+4 cos^2 ⁡x+4 cos ⁡x-13=04 cos^3 ⁡x+4 cos^2 ⁡x+4 cos ⁡x=13L .H .S . 12 con^ ' ⁡t be equal to13.

$The number of solutions of the equation 4 sin^{2} x - 4 cos^{3} x + 9 - 4 cos x = 0; x \in [- 2 π, 2 π] is :$

Solution

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