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Differentiation

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Question 276

The curve C C\,C is defined by the parametric equations x=2cos⁡tx = 2 \cos tx=2cost, y=sin⁡ty = \sin ty=sint.

The line L L\,L is a tangent to C C\,C at the point given by t=π3\displaystyle t = \frac{\pi}{3}t=3π​

Find the equation of L L\,L and hence find the point where L L\,L cuts the yyy-axis, giving your answers in exact form.

[7]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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