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Write the value of cos^(-1)(1/2)+2\ sin^...

Write the value of `cos^(-1)(1/2)+2\ sin^(-1)(1/2)`

Text Solution

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`cos^(-1)((1)/(2))+ 2 sin^(-1) ""(1)/(2)`
`=cos^(-1)(cos""(pi)/(3))+2sin^(-1)(sin""(pi)/(6))`
`(pi)/(3)+2((pi)/(6))=(pi)/(3)+(pi)/(3)=(2pi)/(3)`
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