Draw the loci
` r = a cos theta `

Find the relation obtained by eliminating theta " from the equations " x = r cos theta + s sintheta and y=r sintheta-s cos theta .

If x = r cos theta cos phi, y = r cos theta sin phiz = r sin theta, then x ^ (2) + y ^ (2) + z ^ (2) = (i) r ^ (2) (ii ) y ^ (2) (iii) x ^ (2) (iv) z ^ (2)

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

Prove that the distance between the points (a+r cos theta,b+r sin theta) and (a,b) is independent of theta

Obtain the relation by eliminating theta from the equation, x=a +r cos theta and y=b+ r sin theta .

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

The slope of the tangent to the curve r^(2)=a^(2)cos2 theta, where x=r cos theta and y=r sin theta, at the point theta=(pi)/(6) is

If theta in R - {(4n + 1) pi/4 , n in I} , then range of (cos 3 theta + sin 3 theta)/(cos theta - sin theta) is :