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Question

cotθ=78, then evaluate (1+sinθ)(1sinθ)(1+cosθ)(1cosθ).

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Solution

cotθ=78=Baseperpendicular
Hypotenuse =p2+B2=72+82=49+64
=113
=113
(1+sinθ)(1sinθ)(1+cosθ)(1cosθ) =1sin2θ1cos2θ =182113172113
1136411349=4964.

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