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Question

Prove that

tan θsec θ1+tan θsec θ+1=2 cosec θ [4 MARKS]

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Solution

Formula: 1 Mark
Concept: 1 Mark
Application: 2 Marks

tan θsec θ1+tan θsec θ+1

=tan θ(sec θ+1)+tan θ(sec θ1)sec2 θ1

=2 tan θ sec θ+tan θtan θtan2 θ

=2 tan θ sec θtan2 θ

=21cos θsin θcos θ

=2sin θ

=2 cosec θ

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