WAEC (WASSCE) Mathematics · Trigonometry

Sine, Cosine and Tangent of an angle: WAEC Mathematics Past Questions and Answers

What the WAEC syllabus covers in Sine, Cosine and Tangent of an angle

Our summary: The three basic trig ratios, their values for common angles and their graphs.

  • Sine, Cosine and Tangent of acute angles
  • Use of tables of trigonometric ratios
  • Trigonometric ratios of 30°, 45° and 60°
  • Sine, cosine and tangent of angles from 0° to 360°
  • Graphs of sine and cosine
  • Graphs of trigonometric ratios

Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).

WAEC (WASSCE) Mathematics questions on Sine, Cosine and Tangent of an angle

  1. WAEC 2024A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the…
  2. WAEC 2023Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°
  3. WAEC 2022A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?
  4. WAEC 2022Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.
  5. WAEC 2021if tanθ = frac 3 4 , 180° < θ < 270°, find the value of cosθ.
  6. WAEC 2021Given that sin x = 3/5 , 0 ≤ x ≤ 90, evaluate (tan x + 2cosx)
  7. WAEC 2020If tan y is positive and sin y is negative, in which quadrant would y lie?
  8. WAEC 2019If tan x = 3/4 , 0 < x < 90 ^o , evaluate x/2 sin x
  9. WAEC 2018If tan x = 4/3 , 0 ^o < x < 90 ^o , find the value of sin x - cos x
  10. WAEC 2017Given that cos 30 ^o = sin 60 ^o = 3/2 and sin 30 ^o = cos 60 ^o = 1/2 , evaluate tan 60^o - 1/1 - tan 30^o
  11. WAEC 2016If cos = x and sin 60o = x + 0.5 0o < < 90o, find, correct to the nearest degree, the value of
  12. WAEC 2015PQRS is a square. If x is the midpoint of PQ, calculate correct to the nearest degree, <PXS.
  13. WAEC 2014Given that cos x = 12/13 , evaluate 1 - x/ x
  14. WAEC 2013If sin x = 5/13 and 0o x 90o, find the value of (cos x - tan x)
  15. WAEC 2011Given that cos xo = 1/r , express tan x in terms of r
  16. WAEC 2010If sin 3y = cos 2y and 0o 90o, find the value of y
  17. WAEC 2010Given that tan x = 1, where 0o x 90o, evaluate 1 - ^2 x/ x

Years with Sine, Cosine and Tangent of an angle questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2024
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