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Find sin^(-1)(sintheta).cos^(-1)(costhet...

Find `sin^(-1)(sintheta).cos^(-1)(costheta),tan^(-1)(tantheta),cot^(-1)(cottheta)` for `theta in ((5pi)/2,3pi)`

Text Solution

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The correct Answer is:
`sin^(-1) ( sin theta) = 3 pi - theta ;" " cos^(-1) ( cos theta ) = theta - 2 pi`
` tan^(-1) ( tan theta) = theta - 3 pi;" " cot^(-1) ( cot theta) = theta - 2 pi `
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