Question

Prove the following identities, where the angels involved are acute angles for which the expression are defined. ​

Answer 1

Answer:

(i) (cosec θ−cotθ)2=1+cosθ1−cosθ.

Solution:-

LHS=

(cosec θ−cotθ)2=(sinθ1−sinθcosθ)2=sin2θ(1−cosθ)2

=1−cos2θ(1−cosθ)2=1+cosθ1−cosθ

=RHS

Step-by-step explanation:

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