Grade 10 Maths · Functions · Paper 1

Trigonometric Functions Grade 10

Real Trigonometric Functions past paper questions and answers from 2023 to 2025, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

past paper questions: 22 past paper questions
skills: 6 skills
videos: 6 videos

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Question 3.2 · June 2024 · Paper 2 · Provincial · 2 marks

The sketch below shows the graph of

f (x) = cos x

and

g (x) = 2 sin x

for the interval

x \in [0^{\circ}; 36 0^{\circ}]

3.2 For which value(s) of x will

f (x) \geq 0

?(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

Trigonometric Functions skills

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More Trigonometric Functions Grade 10 questions and answers

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4. Question 4.1.4 · June 2025 · Paper 1 · Provincial · 2 marks
4.1 Given: $f (x) = - x^{2} + 4$
4.1.4 Describe the transformation from $f$ to $h$ in words if $h (x) = - (x - 1) (x + 1)$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Expand the equation for h(x) $h (x) = - (x^{2} - 1)$
  $h (x) = - x^{2} + 1$
  1 mark · Multiply two binomials
2. ✓
  Describe the shiftThe graph of $f$ is shifted vertically down by $3$ units.
  1 mark · Shift a graph
5. Question 6.1.1(b) · September 2024 · Provincial · 2 marks
6.1 Given: $f (x) = 2 sin x + 1$ and $g (x) = tan x$ , where $x \in [0^{\circ}; 27 0^{\circ}]$
6.1.1 Write down the:
6.1.1(b) range of f.(2)
Show the memo (2 ticks)Memo
1. ✓
  Notation $y \in [\dots; \dots]$
  1 mark · Find trig graph amplitude and range
2. ✓
  Values $y \in [- 1; 3]$
  1 mark · Find trig graph amplitude and range
6. Question 4.1.1 · March 2023 · Provincial · 2 marks
4.1 Solve for x where $0^{\circ} \leq x \leq 9 0^{\circ}$ , in each of the following equations. Give your answer correct to TWO decimal places.
4.1.1 $tan 3 x = 5, 75$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Arctan $3 x = tan^{- 1} (5, 75) = 80, 1 3^{\circ}$
  1 mark · Calculate an angle from a ratio
2. ✓
  Solve x $x = 26, 7 1^{\circ}$
  1 mark · Calculate an angle from a ratio

Trigonometric Functions Grade 10 videos

Short lessons from South African teachers first. Videos load only when you tap play, to save your data.

Functions : Horizontal Translations - Horizontal Shift - y = f(x - c) Examples and ExplanationRadford Mathematics

Reflections of the Exponential GraphMaths101 with Jana van Niekerk

Trigonometry Graphs grade 10: How to drawKevinmathscience

Trig functions grade 11 and 12: DrawKevinmathscience

Trig functions grade 11 and 12: Determine EquationKevinmathscience

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