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Prove the following results: tan(cos^...

Prove the following results: `tan(cos^(-1)4/5+tan^(-1)2/3)=(17)/6` (ii) `cos(sin^(-1)3/5+cot^(-1)3/2)=6/(5sqrt(13))`

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cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

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Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)