Show that : `x=a cos theta - b sin theta and y = a sin theta + b cos theta`, represent a circle where `theta` is the parameter.

Show that equations x=a cos theta + b sin theta, y = a sin theta - b cos theta represents a circle, wheter theta is a parameter.

If a cos theta-b sin theta = c, then find the value of a sin theta + b cos theta.

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

Prove that : x cos theta + y sin theta = a and x sin theta - y cos theta = b are the parametric equations of a circle for all theta satisfying 0le thetalt2pi

sin^(3)theta + sin theta - sin theta cos^(2)theta =

If x/a cos theta + y/b sin theta = 1 , x/a sin theta - y/b cos theta = 1 then x^2/a^2 + y^2/b^2 =

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))