Trigonometric graphs
Edexcel GCSE Maths revision on Trigonometric graphs. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
What is the maximum value of the function y = sin(x) for values of x between 0 and 360 degrees?
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Answer: 1
The maximum value of the sine function is 1. This occurs at 90 degrees, representing the highest vertical point on the unit circle.
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Question 2
Which transformation describes the relationship between the graph of y = sin(x) and y = sin(x) + 3?
- A) A translation by vector 0 3
- B) A translation by vector 3 0
- C) A reflection in the x axis
- D) A stretch by scale factor 3
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Answer: A translation by vector 0 3
The correct answer is a translation by vector 0 3, which moves every point on the graph three units upwards. Adding a constant to the function shifts it vertically, whereas multiplying would stretch it.
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Question 3
What is the period of the graph y = cos(2x) in degrees?
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Answer: 180
The standard period of y = cos(x) is 360 degrees. Because the x is multiplied by 2, the graph completes its cycle twice as fast, resulting in a period of 360 divided by 2, which is 180 degrees.
Want to test yourself on the remaining cards for this topic?
13 more questions on Trigonometric graphs — plus mistakes tracking and spaced repetition across the whole Maths spec.