If `y=sin^(-1)((a+bcosx)/(b+acosx))`, prove that `dy/dx=-sqrt(b^2-a^2)/(b+acosx)`

tan^(-1)((a+bcosx)/(b-acosx))

If y=asinx+bcosx, prove that y^2+((dy)/(dx))^2=a^2+b^2

Evaluate: int(a+bcosx)/(b+acosx)^2dx

Evaluate: int(a+bcosx)/(b+acosx)^2dx

If y = tan^-1((acosx-bsinx)/(bcosx+asinx)) , then find (dy)/(dx)

y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),w h e r e-pi/2 -1

If y = 2/(sqrt(a^2 - b^2)) "tan"^(-1) (sqrt((a + b)/(a - b)) " tan " x/2) , prove that (dy)/(dx) = 1/(a - b cos x)

If y = log |(a-bcosx)/(a+bcosx)|, then show that dy/dy = (2ab sin x)/(a^2 - b^2 cos^2x)

If y = asinx + b cosx , prove that y^ 2+ ((dy)/(dx))^2 = a^2 + b^2