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Question
Evaluate the following:
`sin(cos^-1 5/13)`
Solution
`sin(cos^-1 5/13)=sin(sin^-1sqrt(1-(5/13)^2))` `[thereforecos^-1x=sin^-1sqrt(1-x^2)]`
`=sin[sin^-1(sqrt(1-25/169))]`
`=sin[sin^-1(sqrt(144/169))]`
`=sin[sin^-1 12/13]`
`=12/13`
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