The curve C C\,C has equation x=2sinyx = 2 \sin yx=2siny. Show that the point P(2,π4)\displaystyle P(\sqrt{2}, \frac{\pi}{4})P(2,4π) lies on CCC.
Show that dydx=12\displaystyle \frac{dy}{dx} = \frac{1}{\sqrt{2}}dxdy=21 at PPP.
Find an equation of the normal to C C\,C at PPP. Give your answer in the form y=mx+cy = mx + cy=mx+c, where m m\,m and c c\,c are exact constants.
Practise Edexcel A Level Old Maths Differentiation with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.