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The value of sin^(-1)(sin12)+cos^(-1)(co...

The value of `sin^(-1)(sin12)+cos^(-1)(cos12)=`

A

A. zero

B

B. `24 - 2pi`

C

C. `4pi -24`

D

D. none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`sin^(-1) (sin 12) + cos^(-1) (cos 12)`
`= sin^(-1) (sin (12 - 4pi)) + cos^(-1) (cos (4 pi - 12))`
`= 12 - 4pi + 4pi - 12 = 0`
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