(3 pi)/(2)quad (" iv ")sin^(-1)((5)/(13)cos x+(12)/(13)sin x)

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

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

Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(3pi)/4lt=xlt=pi/4 sin^(-1)(5/(13)cosx+(12)/(13)sinx)

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

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

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)

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

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

The value of 169e^(i)(pi+sin^(-1)((12)/(13))+cos^(-1)((5)/(13))) is