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1 Unit 1: Pure Mathematics A

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Question 314
i.

Solve, for 0<θ<π0 < \theta < \pi0<θ<π

3sec⁡θ=8sin⁡θ 3 \sec \theta = 8 \sin \theta 3secθ=8sinθ

giving your answers, in radians, to 3 significant figures.

[4]
ii.

Solve, for 0<x<180∘0 < x < 180^\circ0<x<180∘

tan⁡3x−tan⁡22∘1+tan⁡3xtan⁡22∘=0.8 \frac{\tan 3x - \tan 22^\circ}{1 + \tan 3x \tan 22^\circ} = 0.8 1+tan3xtan22∘tan3x−tan22∘​=0.8

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

[4]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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