Simplify the following: (1 + cot2θ)(1 − cos θ)(1 + cos θ)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1
Given that
(1 + cot2θ)(1 − cos θ)(1 + cos θ)
= (1 + cot2θ)(1 − cos2 θ)
=(sin2θ + cos2θ)(sin2 θ)/ sin2 θ
= 1