A-LevelMathematicsDifferentiation9709/31 · Oct/Nov 2019 · Q35 Marks
The parametric equations of a curve are x = 2t + sin 2t, y = ln(1 − cos 2t). dy Show that = cosec 2t. dx
- The parametric equations of a curve are x = 2t + sin 2t, y = ln(1 − cos 2t). dy Show that = cosec 2t. dx[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [B1] State dx/dt = 2 + 2 cos 2t
- [M1] Use the chain rule to find the derivative of y
- [A1] Obtain dy/dt = 2 sin 2t / (1 - cos 2t) OE
- [M1] Use dy/dx = (dy/dt) ÷ (dx/dt)
- [A1] Obtain dy/dx = cosec 2t correctly AG
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