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1.8 E: Trigonometry

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Question 141
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]

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank