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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 21

It is given that θ \theta\,θ satisfies the equation

sin⁡(2θ−45°)=3cos⁡(2θ−45°)\sin(2\theta - 45°) = 3\cos(2\theta - 45°)sin(2θ−45°)=3cos(2θ−45°)

a.

Show that tan⁡2θ=−2\tan 2\theta = -2tan2θ=−2.

[3]
b.

Hence find, in surd form, the exact value of tan⁡θ\tan\thetatanθ, given that θ \theta\,θ is an obtuse angle.

[5]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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