Eliminate `theta` between `cosec theta - sin theta = a, sec theta - cos theta = b`

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

Solve : sec theta-cosec theta =4/3 .

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

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

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^3 theta, y = b tan^3 theta .

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.