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Question

Prove that
sin θ1cot θ+cos θ1tan θ=cos θ+sin θ [4 MARKS]

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Solution

Formula: 2 Marks
Proof: 2 Marks

L.H.S =sin θ1cot θ+cos θ1tan θ
=sin θ1cot θsin θ+cos θ1sin θcos θ
=sin2 θsin θcos θ+cos2 θcos θsin θ
=sin2 θsin θcos θcos2 θsin θcos θ
=sin2 θcos2 θsin θcos θ
=(sin θ+cos θ)(sin θcos θ)(sin θcos θ)
=sin θ+cos θ= RHS


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