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

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)

Prove : tan ( cos^(-1) ""4/5 + tan ^(-1)"" 2/3 )=(17)/(6)

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))

Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)

Prove that : tan[cos^(-1)""((4)/(5))+tan^(-1)""((2)/(3))]=(17)/(6)

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/4

Prove the following: tan^(-1)((1)/(4))+tan^(-1)((2)/(9))=(1)/(2)cos^(-1)((3)/(5))

Prove the following: 2\ tan^(-1)3/4-tan^(-1)(17)/(31)=tan^(-1)pi/4

Prove the following : 2"tan"^(-1)1/5+"tan"^(-1)1/4="tan"^(-1)32/43