List of top Mathematics Questions on Derivatives of Functions in Parametric Forms asked in TS EAMCET

If $x=Sin^{-1}(cos~t)$ and $y=Tan^{-1}(cos~t)$ then $\frac{dy}{dx}=$}
If \[ x=\sin2\theta+\sin3\theta,\qquad y=\cos2\theta-\cos3\theta \] then \[ \frac{d^2y}{dx^2} = \]