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Trigonometric Identities and Equations

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Question 146
a.

Sketch the graphs of y=2cos⁡xy = 2 \cos xy=2cosx and y=sin⁡xy = \sin xy=sinx for 0∘≤x≤180∘ 0^\circ \leq x \leq 180^\circ\,0∘≤x≤180∘ on the same axes.

[2]
b.

The point of intersection of these graphs has yyy-coordinate 255\displaystyle \frac{2}{5}\sqrt{5}52​5​. Find its exact xxx-coordinate, giving the answer in the form arctan⁡a\arctan aarctana, where a a\,a is an integer.

[4]
Markscheme

Trigonometric Identities and Equations Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Identities and Equations

322 exam-style questions on Edexcel A Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.

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