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Question
Evaluate the following:
`sin(1/2cos^-1 4/5)`
Solution
`sin(1/2cos^-1 4/5)=sin{1/2xx2sin^-1+-sqrt((1-4/5)/2)}` `[becausecos^-1x=2sin^-1+-sqrt((1-x)/2)]`
`=sin(sin^-1+-1/sqrt10)`
`=+-1/sqrt10`
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