Draw the loci
` r = a sin theta `

The'derivative of x w.r.t. theta is: x = sin theta cos theta

If tan theta=(r)/(s) , find the value of (r sin theta-s cos theta)/(r sin theta+s cos theta)

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If x = r cos theta, y = r sin theta, r =a(1+cos theta) then find (dy)/(dx)

Show that the point (x, y) , where x=a+r cos theta, y = b + r sin theta , lies on a circle for all values of theta .

Let A={ theta in R|cos^(2) (sin theta)+sin^(2) (cos theta)=1} and B={ theta in R| cos (sin theta) sin (cos theta)=0} . Then A nn B