" 2.Fist pit for "sin^(-1)(3)/(5)-cos^(-1)(11)/(11)" and "(16)/(65)

Prove thate sin^(-1)((3)/(5))-cos^(-1)((12)/(13))=sin^(-1)((16)/(65))

Prove that "sin"^(-1)(4)/(5) +"sin"^(-1)(5)/(13) +"sin"^(-1)(16)/(65)=(pi)/(2) .

show that sin ^(-1)""(4)/(5) +sin ^(-1)""(5)/(13) +sin ^(-1)""(16)/(65) =(pi)/(2)

Prove that: sin^-1(3/5)-cos^-1(12/13)=sin^-1(16/65)

Prove that sin^(-1)""(4)/(5)+sin^(-1)""(5)/(13)=cos^(-1)""(16)/(65)

sin^(-1)(4/5)+sin^(-1)(5/13)+sin^(-1)(16/65)=

Prove that sin( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = (63)/(65)

Rectify the error if any in the following "sin"^(-1)4/(5)+"sin"^(-1)12/(13)+"sin"^(-1)33/(65) ="sin"^(-1)[4/(5)sqrt(1-44/(169))+12/(13)sqrt(1-16/(25))]+"sin"^(-1)33/(65) ="sin"^(-1)(56/(65))+"cos"^(-1)sqrt(1-(33/(65))^(2)) ="sin"^(-1)(56/(65))+"cos"^(-1)(56/(65))=pi/(2)

Sin^(-1)(16/65)+2Tan^(-1)(1/5)=

Prove that sin^(-1)""(5)/(13)+cos^(-1)""(3)/(5)=sin^(-1)""(63)/(65)