Compound-Angle Formulae · CSEC Additional Mathematics

12 past-paper questions on Compound-Angle Formulae, part of Trigonometry, from every CSEC Additional Mathematics paper on Quelpr.

1. 4(b)5 marks· Additional Mathematics Q4 4(b)Without the use of a calculator, evaluate cos 105°, in surd form, giving your answer in the simplest terms.
2. 4(b)4 marks· Additional Mathematics Q4 4(b)Show without using a calculator that cos(π/4 - π/3) / sin(2π/3) = (√2 + √6) / (2√3).
3. 4(b)2 marks· Additional Mathematics Q4 4(b)show that cos(x + π/6) = (1/2)(√3 cos x - sin x), where x is acute.
4. 4(b)3 marks· Additional Mathematics Q4 4(b)Evaluate without using calculators, the exact value of cos(7π/12).
5. 4(c)3 marks· Additional Mathematics Q4 4(c)Use the appropriate compound angle formula to find the value of the acute angle α.
6. Q301 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1If \sin(x^\circ + 20^\circ) = \cos x, then the value of x is
7. Q311 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1\sin(\alpha + 45^\circ) is equal to
8. Q311 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1\sin(\alpha + 45^\circ) is equal to
9. Q311 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1\sin(\alpha - 45^\circ) is equal to
10. Q301 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1If \sin(x + 20^\circ) = \cos x, then the value of x is
11. Q311 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1\sin(\alpha + 45^\circ) is equal to
12. Q311 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1\sin(\alpha + 45^\circ) is equal to