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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 94
a.

Show that the equation

10cos⁡θ=3cosec⁡θ 10 \cos \theta = 3 \operatorname{cosec} \theta 10cosθ=3cosecθ

can be written in the form

sin⁡2θ=k \sin 2\theta = k sin2θ=k

where kkk is a constant to be found.

[3]
b.

Hence find the smallest positive solution of the equation

10cos⁡θ=3cosec⁡θ 10 \cos \theta = 3 \operatorname{cosec} \theta 10cosθ=3cosecθ

giving your answer, in degrees, to one decimal place.

[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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