Question

Prove that sin Q cotQ + sinQ Cosec Q = 1 + CosQ

Answer 1

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Answer 2

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Remember:-

Sin∅=1/Cosec∅

Cot∅=Cos∅/Sin∅

Tan∅=Sin∅/Cos∅

1/Cosec∅=Sin∅

Sin∅.Cot∅ + Sin∅.COsec∅

Sin∅×Cos∅/Sin∅ + Sin∅×1/Sin∅

Cancelled Sin ∅ on both sides

Cos∅+1

1+Cos∅

Hence, LHS=RHS

Thanks!!!