show that cot theta - cot 2 theta= cosec 2 theta
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Answer:
The proof is as follows
Step-by-step explanation:
LHS = cotθ - cot2θ
= (cosθ/sinθ) -(cos2θ/sin2θ)
= (sin2θ cosθ - cos2θ sinθ)/sinθsin2θ
= sin(2θ-θ)/sinθsin2θ
= sinθ/sinθsin2θ
= 1/sin2θ
= cosec2θ
= RHS
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