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The expression (sin alpha+cos alpha)/(...

The expression `(sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4))` simplifies to :

A

`"cosec"^(2)((pi)/(4)-alpha)`

B

`sec^(2)((pi)/(4)-alpha)`

C

`tan^(2)((pi)/(4)-alpha)`

D

`cot^(2)((pi)/(4)-alpha)`

Text Solution

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The correct Answer is:
A
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