The locus of the point `(a(cos theta+sin theta),b(cos theta-sin theta))` where `theta` is the parameter is

" (i) "(cos theta+sin theta)/(cos theta-sin theta)

cos theta+sin theta=cos2 theta+sin2 theta

The locus of the point (cot theta+cos theta,cot theta-cos theta) where 0<=theta<2 pi is

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

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

The Locus of the point (tan theta+sin theta,tan theta-sin theta) is (theta is a parameter) (x^(2)-y^(2))= kxy then (k)/(2)

(1+cos theta+sin theta)/(1+cos theta-sin theta)=(1+sin theta)/(cos theta)

cos theta/(1+sin theta)=(1-sin theta)/cos theta

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

(sin 3theta)/(sin theta)-(cos 3theta)/(cos theta)=