Question

Simplify (1 − cos θ) (1 +cosθ) (1 + cot2θ)

Answer 1

Answer:

(1−cosθ)(1+cosθ)(1+cot

2

θ)

=[(1−cosθ)(1+cosθ)(1+cot

2

θ)]

=(1−cos

2

θ)(1+cot

2

θ)

=sin

2

θ.cosec

2

θ=sin

2

θ⋅

sin

2

θ

1

=1