Question

Simplyfying the expression Sin² theta+ Cos² theta + Cot² theta, we get​

Answer 1

Answer:-

We will use the following identities:

cos(θ2)=√1+cosθ2sin(θ2)

=√1−cosθ2

Thus, substituting these into the expression, we get:

cos2(θ2)−sin2(θ2)

=(√1+cosθ2)2−(√1−cos2)

=1+cosθ2−1−cosθ2

=1+cosθ−(1−cosθ)2

=1−1+cosθ+cosθ2

=2cosθ2=cosθ

Hope it helps