AQA · Mathematics · 8300
GCSE Maths: Trigonometry: Sine graph
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Trigonometry: Sine graph (Corbettmaths Video 338), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is the maximum value of y = sin(x)?
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1
What is the minimum value of y = sin(x)?
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−1
What is the maximum value of y = cos(x)?
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1
What is the minimum value of y = cos(x)?
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−1
Can the sine of an angle equal 1.2?
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No. The sine of an angle must be between −1 and 1 inclusive.
Can the cosine of an angle equal 3?
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No. The cosine of an angle must be between −1 and 1 inclusive.
At what angle does y = sin(x) first reach its maximum value for x ≥ 0°?
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90°
At what angle does y = cos(x) first reach its maximum value for x ≥ 0°?
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0°
If tan(x) > 0 for an acute angle x, what can we conclude about x?
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This is always true for acute angles (0° < x < 90°).
For 270° < x < 360°, what are the signs of tan(x) and cos(x)?
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tan(x) < 0 and cos(x) > 0
If sin(x) = −0.5 has one solution at x = 210° in the range 0° ≤ x ≤ 360°, what is the other solution?
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x = 330°
If cos(x) = 0.766 has one solution at x = 40° in the range 0° ≤ x ≤ 360°, what is the other solution?
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x = 320° (or 360° − 40°)
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