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Consider the function f(x)=(sqrt(1+cos x...

Consider the function `f(x)=(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cos x))` then
Q. If `x in (pi, 2pi)` then f(x) is

A

`cot((pi)/(2)+(x)/(2))`

B

`tan((pi)/(4)+(x)/(2))`

C

`cot((pi)/(4)-(x)/(2))`

D

`tan(( pi)/(4)-(x)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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