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The value of (cot^(-1)(-sqrt(3))+sec^(-1...

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 :

A

`(2)/(3)`

B

`(7)/(6)`

C

`(7)/(3)`

D

`(6)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Ratio`=((5pi)/(6)+0+(-(pi)/(4)))/((pi)/(6)+(5pi)/(6) -(pi)/(2))=((5)/(6)-(1)/(4))/((1)/(6)+(5)/(6)-(1)/(2))=(7)/(6)`
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