Grade 10 Maths · Trigonometry · Paper 2

Special Angles Grade 10

Real Special Angles past paper questions and answers from 2018 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: 8 past paper questions
skill: 1 skill
videos: 1 videos

Try a Special Angles exam question

No sign-up. Takes 3 minutes.

Question 2.3 · June 2024 · Paper 2 · Provincial · 3 marks

2.3 Evaluate without using a calculator:

\frac{s i n 4 5 ^{\circ}}{\frac{2}{2} \cdot t a n ^{2} 3 0 ^{\circ}}

(3)

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

Special Angles skills

Each skill is one thing a memo gives a tick for. Tap one for its own questions, notes and videos.

Use special angle valuesGive exact trig values for 0°, 30°, 45°, 60° and 90° without a calculator, for example sin 30° = ½ and tan 45° = 1.18 past paper questions · 2 videos

More Special Angles Grade 10 questions and answers

Try each one on paper before you open the memo.

4. Question 3.2.1 · March 2025 · Provincial · 2 marks
3.2 If $\hat{A} = 3 4^{\circ}$ and $\hat{B} = 5 3^{\circ}$ , use your calculator to evaluate the following (correct to TWO decimal places).
3.2.1 $cos (B - A)$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Substitute $cos (5 3^{\circ} - 3 4^{\circ}) = cos (1 9^{\circ})$
  1 mark · Calculate trig values on a calculator
2. ✓
  Calculate $0, 95$
  1 mark · Calculate trig values on a calculator
5. Question 4.3 · March 2023 · Provincial · 5 marks
4.3 Without the use of the calculator, showing all your working, determine the value of: $\frac{c o t ^{2} 6 0 ^{\circ} \cdot t a n 4 5 ^{\circ} \cdot s i n 3 0 ^{\circ}}{c o s 6 0 ^{\circ}}$ (5)
Show the memo (5 ticks)Memo
1. ✓
  cot^2 60° $cot^{2} 6 0^{\circ} = (\frac{3}{3})^{2}$
  1 mark · Use special angle values
2. ✓
  tan 45° $tan 4 5^{\circ} = 1$
  1 mark · Use special angle values
3. ✓
  sin 30° $sin 3 0^{\circ} = \frac{1}{2}$
  1 mark · Use special angle values
4. ✓
  cos 60° $cos 6 0^{\circ} = \frac{1}{2}$
  1 mark · Use special angle values
5. ✓
  Answer $\frac{( \frac{3}{3} ) ^{2} ( 1 ) ( \frac{1}{2} )}{\frac{1}{2}} = \frac{1}{3}$
  1 mark · Use special angle values
6. Question 5.2 · March 2018 · Provincial · 3 marks
5.2 Simplify the following WITHOUT the use of a calculator: $\frac{c o s 3 0 ^{\circ}}{cosec 6 0 ^{\circ}}$ (3)
Show the memo (3 ticks)Memo
1. ✓
  Substitute special angles $cos 3 0^{\circ} = \frac{3}{2}$
  1 mark · Use special angle values
2. ✓
  Substitute denominator $cosec 6 0^{\circ} = \frac{2}{3}$
  1 mark · Use special angle values
3. ✓
  Simplify fraction $\frac{\frac{3}{2}}{\frac{2}{3}} = \frac{3}{2} \times \frac{3}{2} = \frac{3}{4}$
  1 mark · Use special angle values

Special Angles Grade 10 videos

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

Special Triangles Grade 10: IntroductionKevinmathscience

Free on Android

Know exactly which skill is costing you marks.

Mark past papers tick by tick in the NavyBlue app. It remembers every mark you lose, shows you the skills to fix first, and picks your next questions.

The NavyBlue app showing a learner's weak skills