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Question
Evaluate the following:
`sin(2tan^-1 2/3)+cos(tan^-1sqrt3)`
Solution
`sin(2tan^-1 2/3)+cos(tan^-1sqrt3)=sin(sin^-1 (2xx2/3)/(1+4/9))+cos(cos^-1 1/(sqrt(1+(sqrt3)^2)`
`=sin(sin^-1 12/13)+cos(cos^-1 1/2)`
`=12/13+1/2`
`=37/26`
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