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Question

Prove the following:
(1+cot θcosec θ)(1+tan θ+sec θ)=2 [4 MARKS]


Solution

Formula: 2 Marks
Proof: 2 Marks

L.H.S =(1+cot θcosec θ)(1+tan θ+sec θ)
=(1+cos θsin θ1sin θ)(1+sin θcos θ+1cos θ)
=(sin θ+cos θ1sin θ)(cos θ+sin θ+1cos θ)
=((sin θ+cos θ)1sin θ)((sin θ+cos θ)+1cos θ)

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