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1.5.12 Double angle and compound angle formulae (A-level only)

1.5.12 Double angle and compound angle formulae (A-level only)

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Question 19
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

1.5.12 Double angle and compound angle formulae (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.5.12 Double angle and compound angle formulae (A-level only)

27 exam-style questions on OCR A Level Maths 1.5.12 Double angle and compound angle formulae (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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