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Let f(theta)=(cot theta)/(1-tan theta)+(...

Let `f(theta)=(cot theta)/(1-tan theta)+(tantheta)/(1-cot theta), pi lt theta lt (3pi)/(4)`, then `f((9pi)/(8))` is equal to :

A

`1+sqrt(2)`

B

`1+2sqrt(2)`

C

`sqrt(2)-1`

D

`2sqrt(2)-1`

Text Solution

Verified by Experts

The correct Answer is:
b
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Knowledge Check

  • Let f(theta)=(tan^(3)theta)/(1+tan^(2)theta)-(cot^(3)theta)/(1+cot^(2)theta), 0 lt theta lt (pi)/(4) . Then f(theta) is equal to

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