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Proving Simple Trigonometric Identities · CSEC Additional Mathematics

14 past-paper questions on Proving Simple Trigonometric Identities, part of Trigonometry, from every CSEC Additional Mathematics paper on Quelpr.

Practise Proving Simple Trigonometric Identities
  1. 4(c)4 marks· Additional Mathematics Q4 4(c)Prove the identity 1/(1 - sin x) - 1/(1 + sin x) = 2 tan x / cos x.
  2. 4(c)4 marks· Additional Mathematics Q4 4(c)Prove the identity (sin θ + sin 2θ) / (1 + cos θ + cos 2θ) = tan θ.
  3. 4(c)3 marks· Additional Mathematics Q4 4(c)Prove that the identity sin(θ + α) / (cos θ cos α) = tan θ + tan α.
  4. 4(c)4 marks· Additional Mathematics Q4 4(c)Prove the identity 1 / (sec θ + tan θ) = (1 - sin θ) / cos θ.
  5. 4(c)3 marks· Additional Mathematics Q4 4(c)Prove the identity 1 - cos²θ / (1 + sinθ) = sinθ.
  6. 4(c)4 marks· Additional Mathematics Q4 4(c)Prove the identity (tan θ sin θ)/(1 - cos θ) = 1 + 1/cos θ.
  7. 4(c)3 marks· Additional Mathematics Q4 4(c)Show that tan² θ + 1 = 1/cos² θ.
  8. 6(b)4 marks· Additional Mathematics Q6 6(b)Prove that sec A cosec A - cot A = tan A.
  9. Q341 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to
  10. Q341 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to
  11. Q341 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to
  12. Q341 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to
  13. Q271 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to
  14. Q341 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The trigonometrical expression \frac{\sin x}{1 - \cos x} + \frac{\sin x}{1 + \cos x} is identical to

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