sin^(-1)((5)/(13)cos x+(12)/(3)sin x)

Simplify: sin^(-1)((5)/(13)cos x+(12)/(13)sin x)

The derivative of the function f(x)=cos^(-1)((1)/(sqrt(13))(2cos x-3sin x))+sin^(-1)((1)/(sqrt(13))(2cos x+3sin x)), with respect to sqrt(1+x^(2)) at x=(3)/(4) is

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

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

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

If f(x)=cos^(-1)((1)/(sqrt(13)))(2cos x-3sin x)+sin^(-1)((1)/(sqrt(13)))(2cos x+3sin x)wdot rt sqrt(1+x^(2)) then find (df(x))/(dx) at x=(3)/(4)

Evaluate the following Integrals. int(12)/(13) - (5)/(13) (-3 sin x + 2 cos x)dx

Evaluate the following Integrals. int(12)/(13) - (5)/(13) (-3 sin x + 2 cos x)dx

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

If sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=sin^(-1)((2)/(x))+cos^(-1)((2)/(x)) then the value of x is equal to