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Find the value of: tan^(-1)(1)+cos^(-1)(...

Find the value of: `tan^(-1)(1)+cos^(-1)(-1/2)+sin^(-1)(-1/2)`

A

`pi`

B

`(2pi)/3`

C

`(3pi)/4`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
C
`tan^(-1)1+cos^(-1)(-1/2)+sin^(-1)(-1/2)=pi/4+(pi-cos^(-1)1/2)=-sin^(-1)1/2`
`(pi/4+pi-pi/3-pi/6)=(3pi)/4`.
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