A curve has the parametric equations
x=cot2t,y=sint,0<t<π2 x = \cot^2 t, \quad y = \sin t, \quad 0 < t < \frac{\pi}{2} x=cot2t,y=sint,0<t<2πFind an expression for dydx\displaystyle \frac{dy}{dx}dxdy in terms of ttt.
Find an equation of the tangent to the curve when t=π6\displaystyle t = \frac{\pi}{6}t=6π.
Find a cartesian equation for the curve.
9 exam-style questions on Edexcel A Level Maths 8.2 Using Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.