[" 2.Prove the following results: "],[[" (i) "cos^(-1)((5)/(13))=tan^(-1)((12)/(5))]]

sin^(-1)(5/13)+tan^(-1)(12/5)=

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

tan^(-1)((5)/(13))+cos^(-1)((3)/(5))=

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))

Prove the following: cos^(-1)((12)/(13))+sin^(-1)((3)/(5))=sin^(-1)((56)/(65))

Prove the following results: tan((sin^(-1)(15))/(13)+(cos^(-1)3)/(5))=(63)/(16) (ii) sin((cos^(-1)3)/(5)+(sin^(-1)5)/(13))=(63)/(65)

Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/(65))

Prove the following results: tan(sin^(-1)(5)/(13)+cos^(-1)3/5)=(63)/(16) (ii) sin(cos^(-1)3/5+sin^(-1)5/(13))=(63)/(65)

Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"cos"^(-1)(3/(5))="tan"^(-1)(63/(16)) .