((sqrt(3)+2cos A)/(1-2sin A))^(-3)+((1+2sin A)/(sqrt(3)-2cos A))^(-3)=

((sqrt(3) + 2 cosA)/( 1-2 sin A ))^(-3) + ((1+ 2 sin A )/( sqrt(3)-2 cos A ))^(-3) =

((sqrt(3)+2sin A)^(3))/((1-2cos A)^(3))+((1+2cos A)^(3))/((sqrt(3)-2sin A)^(3))

((sqrt(3)+2sin A)^(3))/((1-2cos A)^(3))+((1+2cos A)^(3))/((sqrt(3)-2sin A)^(3))=

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

2sin^(2)x+sqrt(3)cos x+1=0

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)

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

sin(A+B)=1/sqrt(2) cos(A-B)=sqrt3|2

Evaluate each of the following: (cot^(-1)1)/(sqrt(3))-cos ec^(-1)(-2)+sec^(-1)((2)/(sqrt(3))) (ii) cot^(-1){2cos((sin^(-1)(sqrt(3)))/(2))}