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(tan^(- 1)(sqrt(3))-sec^(- 1)(-2))/(cose...

`(tan^(- 1)(sqrt(3))-sec^(- 1)(-2))/(cosec^(- 1)(-sqrt(2))+cos^(- 1)(-1/2)) =`

A

`(4)/(5)`

B

`(-4)/(5)`

C

`(3)/(5)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
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(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2))) is equal to

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The value of (cot^(-1)(-sqrt(3))+sec^(-1) (1)+tan^(-1)(-1))/(sin^(-1)(1//2) +cos^(-1)(-(sqrt(3))/(2)) +"cosec"^(-1)(-1)) is :

Evaluate each of the following: cot^(-1)(1)/(sqrt(3))-csc^(-1)(-2)+sec^(-1)((2)/(sqrt(3)))cot^(-1){2cos(sin^(-1)(sqrt(3))/(2))}csc^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)tan^(-1)((1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

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