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Trigonometry and Modelling

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Question 170
a.

Prove the identity:

tan⁡x≡1−cos⁡2xsin⁡2x \tan x \equiv \frac{1 - \cos 2x}{\sin 2x} tanx≡sin2x1−cos2x​
[4]
b.

Hence, verify that θ=π4,5π4\displaystyle \theta=\frac{\pi}{4}, \frac{5\pi}{4}θ=4π​,45π​ are solutions of

1−cos⁡2θ=sin⁡2θ 1 - \cos 2\theta = \sin 2\theta 1−cos2θ=sin2θ
[3]
Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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