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Question

Prove that : tanθsecθ1 - tanθsecθ+1 = 2 cotθ

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Solution

LHS = tanθsecθ1 - tanθsecθ+1

= tanθ(secθ+1)tanθ(secθ1)sec2θ1

= tanθsecθ+tanθtanθsecθtanθsec2θ1

= 2tanθtan2θ

= 2tanθ=2cotθ (RHS)


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