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