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Question

Prove that secθ+1secθ1=cotθ+cosecθ

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Solution

secθ+1secθ1=cotθ+cscθLHS=    1cosθ+11cosθ1=    1cosθ+11cosθ1×1cosθ+11cosθ+1=1+cosθsinθ=cscθ+cotθ

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