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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 20

It is given that

(sin⁡θ+6cos⁡θ)2+(3sin⁡θ−2cos⁡θ)2=28(\sin\theta + 6\cos\theta)^2 + (3\sin\theta - 2\cos\theta)^2 = 28(sinθ+6cosθ)2+(3sinθ−2cosθ)2=28

and that θ \theta\,θ is obtuse.

a.

Find the exact value of sin⁡θ\sin\thetasinθ. Fully justify your answer.

[5]
b.

Find the exact value of cos⁡2θ\cos 2\thetacos2θ.

[1]
c.

Find the exact value of tan⁡θ\tan\thetatanθ, giving your answer in surd form.

[2]
Markscheme

3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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