Quelpr

Trigonometric Ratios (Acute Angles) · CSEC Mathematics

22 past-paper questions on Trigonometric Ratios (Acute Angles), part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

Practise Trigonometric Ratios (Acute Angles)
  1. 3(a)(ii)2 marks· CSEC Mathematics · 2021 · Paper 2Calculate the length of the side RQ.
  2. 9(b)(iii)2 marks· CSEC Mathematics · 2021 · Paper 2Calculate how far due south is Ship R of the harbour, H.
  3. Q541 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1In the right-angled triangle above, not drawn to scale, \hat{Q} = 90^\circ, PQ = 50\text{ cm}, PR = 130\text{ cm} and RQ = x\text{ cm}. \text{Tan } P\hat{R}Q =
  4. Q521 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1In the right-angled triangle, \tan \theta is
  5. Q551 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1In the triangle \cos P may be expressed as
  6. Q591 mark · multiple choice· CSEC Mathematics · January 2017 · Paper 1From the diagram above, \sin C is
  7. Q571 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1In the triangle, not drawn to scale, angle BAC = 30^\circ and AB = 40\text{ m}. The length BC, in metres, is
  8. Q571 mark · multiple choice· CSEC Mathematics · May/June 2016 · Paper 1Item 57 refers to the diagram below. In the right-angled triangle above, which trigonometric ratio is equal to \frac{4}{8}?
  9. 3(b)(i)b)2 marks· Mathematics Q3 3(b)(i)b)Write, in terms of a, b and c, an expression for sin θ + cos θ.
  10. 3(b)(iii)3 marks· Mathematics Q3 3(b)(iii)Calculate the measure of angle QPR, giving your answer to the nearest degree.
  11. 4(a)(ii)3 marks· Mathematics Q4 4(a)(ii)Calculate the value of θ.
  12. 4(b)(i)7 marks· Mathematics Q4 4(b)(i)Calculate correct to one decimal place the length of GF.
  13. 5(a)(ii)2 marks· Mathematics Q5 5(a)(ii)the measure of angle RTW.
  14. 5(b)(i)2 marks· Mathematics Q5 5(b)(i)Using the dimensions shown on the diagram, calculate, correct to 3 significant figures, the length of QS.
  15. 5(b)(ii)3 marks· Mathematics Q5 5(b)(ii)Using the dimensions shown on the diagram, calculate, correct to 3 significant figures, the measure of ∠RQS.
  16. 10(a)(iv)1 mark· Mathematics Q10 10(a)(iv)Calculate, correct to 1 decimal place, the perpendicular distance from Q to RS.
  17. 10(b)(i)2 marks· Mathematics Q10 10(b)(i)Calculate, giving your answer correct to 3 significant figures, the height, FT, of the flagpole
  18. 10(b)(iii)3 marks· Mathematics Q10 10(b)(iii)Calculate, giving your answer correct to 3 significant figures, the angle of elevation of T from E.
  19. 10(b)(iii)2 marks· Mathematics Q10 10(b)(iii)Calculate the angle TRV.
  20. 11(a)(iii)7 marks· Mathematics Q11 11(a)(iii)Calculate the length of RU.
  21. 11(b)(i)3 marks· Mathematics Q11 11(b)(i)Calculate the value of θ to the nearest degree.
  22. 12(a)(i)7 marks· Mathematics Q12 12(a)(i)Express in fractional or surd form the value of cos θ.

Related topics in GEOMETRY AND TRIGONOMETRY