Given cot=7/8 then evaluate (1+sin)(1-sin)/(1+cos)(1-cos)

And (1+sin)/cos

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Solution

(1+sin)(1-sin)/(1+cos)(1-cos)
=> 1-sin^2/1-cos^2
=> Cos^2/sin^2
=> 1/tan^2
= Cot^2
=> (7/8)^2
= 49/64

In case of (1+sin)/cos
=> 1/cos + sin/cos
= Sec + tan
=> Sec + 1/cot
=> Sec +1/7/8
=> Sec+8/7

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