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"cos"^(-1)4/5+"cos"^(-1)12/13="cos"^(-1)...

`"cos"^(-1)4/5+"cos"^(-1)12/13="cos"^(-1)33/65`

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Prove statement "sin"^(-1) 3/5+ "cos"^(-1)12/13="cos"^(-1) 33/65

Prove that cos^(-1)4/5cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

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

Prove that : "tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65

Prove that : "tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65

Prove that cos^(-1) (3/5)+cos^(-1) (12/13) +cos^(-1)(63/65)=pi/2

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)

Cos^(-1)(3/5)+Cos^(-1)(12/13)=

Prove that cos^(-1)(3/5) + cos^(-1) (12/13) + cos^(-1)( 63/65) =pi/2 .