" Find "lim_(y rarr theta)(y cos theta-theta cos y)/(y-theta)

lim_(theta rarr 0) (1-cos theta)/(theta. costheta)=

lim_(theta rarr 0) (cos5 theta - cos 7 theta )/(theta^(2)) =

Find dy/dx when x = a (cos theta + theta sin theta) , y = a (sin theta - theta cos theta).

x sin ^ (3) theta + y cos ^ (3) theta = sin theta cos theta and x sin theta = y cos theta Find the value of x ^ (2) + y ^ (2)

If tan theta = (x)/(y) , " then " (x sin theta + y cos theta)/( x sin theta - y cos theta) is equal to

If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos theta) then (d^(2)y)/(dx^(2)) =

Evaluate the following : lim_(theta rarr 0)(1-cos theta)/(1-cos 3 theta) .