Grade 10 Maths · Trigonometry

Calculate trig values on a calculator

Work out trig expressions on a calculator set to degrees and round correctly, for example 2 sin 40° ≈ 1,29.

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Trigonometry - Calculator Work (Grade 10 Mathematics)MatheNatic

Grade 10 Trigonometry | Calculator work | Lesson 4Maths with MrsV

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Question 4.2 · June 2024 · Paper 2 · Provincial · 2 marks

In the diagram below,

\hat{A} = θ

and

A \hat{B} D = 9 0^{\circ}

BC = x

\hat{C} = β

and

B \hat{D} C = 9 0^{\circ}

4.2 Hence, or otherwise, calculate the length of AB, correct to two decimal places, if

θ = 5 2^{\circ}

;

β = 4 0^{\circ}

and

x = 12

m. Write your answer to the nearest whole number.(2)

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

More past paper questions: calculate trig values on a calculator

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3. Question 3.2.2 · March 2024 · Provincial · 2 marks
A right angled triangle with sides $p$ , $q$ and $s$ and the angle $θ$ is given. (Based on diagram: $p$ = Hypotenuse, $q$ = Adjacent, $s$ = Opposite to $θ$ )
3.2 If $\hat{A} = 2 0^{\circ}$ and $\hat{B} = 5 5^{\circ}$ , use your calculator to evaluate the following (correct to TWO decimal places).
3.2.2 $tan^{2} B$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Substitute $(tan 5 5^{\circ})^{2}$
  1 mark · Calculate trig values on a calculator
2. ✓
  Calculate $2, 04$
  1 mark · Calculate trig values on a calculator
4. Question 3.1.2 · June 2024 · Paper 2 · Provincial · 2 marks
3.1 If $θ = 89, 4^{\circ}$ and $α = 12 2^{\circ}$ , evaluate the following (round off answers correct to three decimal places):
3.1.2 $\frac{t a n α}{c o s ^{2} ( θ + α )}$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Substitution $\frac{t a n 12 2 ^{\circ}}{c o s ^{2} ( 89 , 4 ^{\circ} + 12 2 ^{\circ} )} = \frac{t a n 12 2 ^{\circ}}{( c o s 211 , 4 ^{\circ} ) ^{2}}$
  1 mark · Calculate trig values on a calculator
2. ✓
  Answer $= - 2, 197$
  1 mark · Calculate trig values on a calculator
5. Question 2.1.1 · June 2024 · Paper 2 · Provincial · 2 marks
2.1 If $A = 7 8^{\circ}$ and $B = 3 4^{\circ}$ , calculate the values of the following expressions, correct to two decimal places.
2.1.1 $sin A - sin B$ (2)
Show the memo (1 tick)Memo
1. ✓
  Substitute and calculate $sin 7 8^{\circ} - sin 3 4^{\circ}$
  $= 0, 42$
  2 marks · Calculate trig values on a calculator
6. Question 4.2.1 · March 2023 · Provincial · 2 marks
4.2 If $\hat{A} = 7 0^{\circ}$ and $\hat{B} = 4 0^{\circ}$ , use your calculator to evaluate the following (correct to ONE decimal place).
4.2.1 $tan (A + B)$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Substitute $tan (7 0^{\circ} + 4 0^{\circ}) = tan (11 0^{\circ})$
  1 mark · Calculate trig values on a calculator
2. ✓
  Calculate $- 2, 7$
  1 mark · Calculate trig values on a calculator

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