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Solving trigonometric equationsAQA A-Level Maths: Mind map

What this mind map covers

  • Simple equations
  • Radians
  • Multiple angles
  • Quadratics
  • Using identities
  • Exam tips

Exam questions on Solving trigonometric equations

  1. In this question, xx is in degrees and 0∘≤x≤360∘0^\circ\le x\le360^\circ.
    Solve sin⁡x=−0.6\sin x=-0.6, giving your answers to 1 decimal place.2 marks
  2. Consider the equation 2sin⁡2θ+sin⁡θ−1=02\sin^2\theta+\sin\theta-1=0, where θ\theta is in degrees.
    Solve the equation for 0∘≤θ≤360∘0^\circ\le\theta\le360^\circ.2 marks
  3. In this question, xx is measured in degrees.
    Solve sin⁡2x=32\sin2x=\frac{\sqrt3}{2} for 0∘≤x≤180∘0^\circ\le x\le180^\circ.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).