Eliminate `theta` from the following equation : `x cos theta - y sin theta = a, x sin theta + y cos theta = b`

If x cos theta + y sin theta = a , x sin theta - y cos theta = b then

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

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

Eliminate theta from the following equations: x= a sintheta, y=b costheta and z=a sin^(2) theta+b cos^(2)theta .

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

Solve the following systems of homogenous equations: {:(x cos theta - y sin theta = 0),(x sin theta + y cos theta = 0):}

x = a cos theta, y = b sin theta .

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

Eliminate theta from the equation , a=x sin theta-y cos theta and b= x cos theta + y sin theta .

Eliminate theta from the following: x=4cos theta-5sin theta , y=4sin theta+5cos theta