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Solving trigonometric equationsEdexcel International A Level Maths: Mind map

Symmetry
Interval
Shifts and multiples

Trig equations

in a given interval

sin⁡\sincos⁡\costan⁡\tan
Radians
Quadratics
Exam tips

Exam questions on Solving trigonometric equations

  1. sin⁡θ=0.6\sin\theta=0.6, for 0∘≤θ≤360∘0^\circ\le\theta\le360^\circ.
    Hence solve sin⁡(θ−20∘)=0.6\sin(\theta-20^\circ)=0.6 for 0∘≤θ≤360∘0^\circ\le\theta\le360^\circ.2 marks
  2. In this question, 0≤x<2π0\le x<2\pi and angles are in radians.
    Solve sin⁡(x+π2)=34\sin\left(x+\frac\pi2\right)=\frac34, giving your answers to 3 significant figures.2 marks
  3. Give angles in degrees, with non-exact answers to 1 decimal place.
    Solve cos⁡(x+30∘)=12\cos(x+30^\circ)=\frac12 for −180∘<x<180∘-180^\circ<x<180^\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).