Factorize it h 4sin {2} \alpha - 5sin \alpha - 6 ​

Question

Factorize it h


`4sin {2} \alpha - 5sin \alpha - 6`
​

Answer 1

Explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)