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The value of expression tan^(- 1)((sqrt(...

The value of expression `tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-cos^(- 1)((sqrt(10))/10)`

A

`cot^(-1) ((1+sqrt2)/(1-sqrt2))`

B

`cot^(-1) ((sqrt2 + 1)/(sqrt2-1))`

C

`- pi + cot^(-1) ((1+sqrt2)/(1 - sqrt2))`

D

`pi - cot^(-1) ((1-sqrt2)/(1 + sqrt2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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