A-Level Maths Edexcel (9MA0)

#1.5.7 Solve trigonometric equations

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Solve simple trigonometric equations in a given interval, including quadratic equations in sin⁡\sin, cos⁡\cos and tan⁡\tan and equations involving multiples of the unknown angle.

Students should be able to solve equations such as

  • sin⁡(x+70°)=0.5\sin{(x + 70°)} = 0.5 for 0<x<360°0 < x < 360°,
  • 3+5cos⁡2x=13 + 5\cos{2x} = 1 for −180°<x<180°-180° < x < 180°, and
  • 6cos⁡2x+sin⁡x−5=06\cos^2{x} + \sin{x} − 5 = 0 for 0≤x<360°0 ≤ x < 360°

These may be in degrees or radians and this will be specified in the question.