Eliminate `theta` between the equations:
`x = a cos theta + b sin theta, y = a sin thetaw - b cos theta`

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin theta .

Eliminate theta between the equation : x =a sec theta, y= b tan theta .

Eliminate theta between the equation : x =a sec^3 theta, y = b tan^3 theta .

Eliminate theta between the equation : x = sin theta + cos theta, y = sin theta-cos theta .

Find dy/dx when x = a (cos theta + theta sin theta) , y = a (sin theta - theta cos theta).

Show that the normal at any point theta to the curve x = a cos theta + a theta sin theta, y = a sin theta - a theta cos theta is at a constant distance from the origin.

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a(cos theta + theta sin theta), y = a(sin theta - theta cos theta)

Find dy/dx , if x and y are connected parametrically by the equations (without eliminating the parameter). x = a (cos theta + theta sin theta), y = a(sin theta - theta cos theta)