Lesson 6.10
6.10 Solution of simple trigonometric equations in given intervals Quiz: AQA Further Maths, Unit 6
20 questions
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Lesson 6.10, Solution of simple trigonometric equations in given intervals: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 6: Geometry, written with Revision Ninja.
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The 20 questions
-
In the interval 0° ≤ x ≤ 360°, how many solutions does sin x = 0.5 have?
- 1
- 3
- 2
- 4
-
What is the principal value of arcsin 0.5, in degrees?
- 45°
- 60°
- 150°
- 30°
-
Which two angles satisfy sin x = 0.5 for 0° ≤ x ≤ 360°?
- 45° and 135°
- 30° and 330°
- 60° and 120°
- 30° and 150°
-
Which inverse function is used to find an angle from its sine value?
- arctan (tan⁻¹)
- arcsec (sec⁻¹)
- arccos (cos⁻¹)
- arcsin (sin⁻¹)
-
For 0° ≤ x ≤ 360°, at which angles is cos x = 0?
- 0° and 180°
- 60° and 300°
- 45° and 135°
- 90° and 270°
-
If 2 sin x = cos x, what is tan x?
- −2
- −1/2
- 1/2
- 2
-
How many solutions does sin²x = 1/4 have for 0° ≤ x ≤ 360°?
- 3
- 2
- 4
- 8
-
How many solutions does sin x = 0.5 have in the interval 0° ≤ x ≤ 360°?
- 4
- 1
- 3
- 2
-
Solve sin x = −0.5 for 0° ≤ x ≤ 360°.
- 210° and 330°
- 120° and 240°
- 150° and 210°
- 30° and 330°
-
Solve cos x = −0.5 for 0° ≤ x ≤ 360°.
- 120° and 240°
- 60° and 300°
- 150° and 210°
- 240° and 300°
-
Solve 2 sin x = cos x for 0° ≤ x ≤ 360°, giving answers to 1 decimal place.
- 63.4° and 243.4°
- 26.6° and 153.4°
- 26.6° and 206.6°
- 45° and 225°
-
Solve tan x = 1 for 0° ≤ x ≤ 360°.
- 45° and 135°
- 135° and 315°
- 45° and 225°
- 90° and 270°
-
Solve sin²x = 1/4 for 0° ≤ x ≤ 360°. What is the smallest solution?
- 60°
- 15°
- 150°
- 30°
-
Solve 3 cos x = 1.5 for 0° ≤ x ≤ 360°.
- 30° and 330°
- 60° and 300°
- 120° and 240°
- 60° and 240°
-
Solve sin x = 0 for 0° ≤ x ≤ 360°.
- 0°, 180° and 360°
- 0°, 90°, 180°, 270° and 360°
- 90° and 270°
- 0° and 180°
-
Solve 4 sin²x = 3 for 0° ≤ x ≤ 360°. What is the smallest solution?
- 45°
- 120°
- 30°
- 60°
-
How many solutions does cos²x = 1/2 have for 0° ≤ x ≤ 360°?
- 4
- 2
- 8
- 3
-
What is the sum of all solutions of sin x = 0.5 for 0° ≤ x ≤ 360°?
- 150°
- 90°
- 360°
- 180°
-
Solve tan x = √3 for 0° ≤ x ≤ 360°. What is the sum of the solutions?
- 240°
- 180°
- 360°
- 300°
-
How many solutions does cos x = −0.5 have for 0° ≤ x ≤ 1080°?
- 3
- 4
- 6
- 9
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