EDEXCEL GCSE MATHS · HIGHER
Exam Practice: Graph of the sine function
Graph of the sine function · More trigonometry · Lesson 2 of 9 · 15 marks · 25 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 SOLVE (3 marks)
Solve sin x = 0.6 for 0° ≤ x ≤ 360°. Give your answers correct to 1 decimal place.
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(Total for Question 1 = 3 marks)
Question 2 WRITE DOWN (2 marks)
Write down the value of (a) sin 90° (b) sin 270°
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(Total for Question 2 = 2 marks)
Question 3 USE THE GRAPH (3 marks)
The graph shows y = sin x for 0° ≤ x ≤ 360°. Use the graph to solve sin x = 0.5 and to write down the maximum value of sin x.
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(Total for Question 3 = 3 marks)
Question 4 SOLVE (3 marks)
Solve sin x = −0.3 for 0° ≤ x ≤ 360°. Give your answers correct to 1 decimal place.
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(Total for Question 4 = 3 marks)
Question 5 EXPLAIN (2 marks)
Amir says that sin x = 1.4 has a solution. Explain why he is wrong.
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(Total for Question 5 = 2 marks)
Question 6 WRITE DOWN (2 marks)
sin 40°= 0.64 (to 2 decimal places). Write down another angle between 0° and 360° with sine 0.64.
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(Total for Question 6 = 2 marks)
TOTAL FOR PAPER = 15 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (3 marks)
x = 36.9° and x = 143.1°
• sin ⁻¹(0.6) = 36.9° B1
• 180 − 36.9 M1
• 143.1 A1
Question 2 (2 marks)
(a) 1 (b) −1
• 1 B1
• −1 B1
Question 3 (3 marks)
x = 30° and x = 150°; maximum value 1.
• 30 B1
• 150 B1
• 1 B1
Question 4 (3 marks)
x = 197.5° and x = 342.5°
• Reference angle 17.5° B1
• 180 + 17.5 or 360 − 17.5 M1
• Both answers A1
Question 5 (2 marks)
The sine graph never goes above 1 or below −1, so there is no angle with sine 1.4.
• Maximum of sine is 1 M1
• Conclusion C1
Question 6 (2 marks)
140°
• 180 − 40 M1
• 140 A1