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Question
Evaluate the following:
`cosec(cos^-1 3/5)`
Solution
`cosec(cos^-1 3/5)=cosec[sin^-1sqrt(1-(3/5)^2)]` `[thereforecos^-1x=sin^-1sqrt(1-x^2)]`
`=cosec[sin^-1(sqrt(1-9/25))]`
`=cosec[sin^-1(sqrt(16/25))]`
`=cosec[sin^-1 4/5]`
`=cosec[cosec^-1 5/4]`
`=5/4`
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