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Solving Simple Trigonometric Equations · CSEC Additional Mathematics

12 past-paper questions on Solving Simple Trigonometric Equations, part of Trigonometry, from every CSEC Additional Mathematics paper on Quelpr.

Practise Solving Simple Trigonometric Equations
  1. 4(b)5 marks· Additional Mathematics Q4 4(b)Solve the equation 2 cos²θ + 3 sin θ = 0 for 0 ≤ θ ≤ 360°.
  2. 4(b)4 marks· Additional Mathematics Q4 4(b)Solve the equation 8 sin^2 θ = 5 - 10 cos θ, where 0° ≤ θ ≤ 360°, giving your answer correct to one decimal place.
  3. 4(b)4 marks· Additional Mathematics Q4 4(b)Solve the equation sin^2(theta) + 3 cos(2*theta) = 2 for 0 <= theta <= pi. Give your answer(s) to 1 decimal place.
  4. 11(a)(i)3 marks· Additional Mathematics Q11 11(a)(i)Find all the angles between 0° and 360° which satisfy 2sin x - 3cos x = 0.
  5. 11(a)(ii)5 marks· Additional Mathematics Q11 11(a)(ii)Find all the angles between 0° and 360° which satisfy 2sin² y - 3cos y = 0.
  6. 11(b)3 marks· Additional Mathematics Q11 11(b)Find, correct to 2 decimal places, all the values of z for which sin(2z + 1) = 0.9.
  7. Q251 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1If \pi < \theta < 2\pi and 2\cos \theta = \sqrt{3}, then \theta is
  8. Q301 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The smallest positive angle for 0 \le \theta \le 2\pi, for which the equation (2\cos\theta - 1)(\cos\theta - 2) = 0 is positive is
  9. Q301 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The smallest positive angle within the range 0 \le \theta \le 2\pi that satisfies the equation (2\cos\theta - 1)(\cos\theta - 2) = 0 is
  10. Q301 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1If \sin(x + 20^\circ) = \cos x, then the value of x is
  11. Q301 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The smallest positive angle in radians, within the range 0 \le \theta \le 2\pi that satisfies the equation (2\cos\theta - 1)(\cos\theta - 2) = 0 is
  12. Q331 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1If \sin(x + 20^\circ) = \cos x, then the value of x is

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