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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)`

Text Solution

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`tan^(-1)(1)+cos^(-1)(-(1)/(2))+sin^(-1)(-(1)/(2)) " " ( :. sin^(-1)x+cos^(-1)x=(pi)/(2))`
`=tan^(-1)(tan""(pi)/(4))+(pi)/(2)=(pi)/(4)+(pi)/(2)=(3pi)/(4)`
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