Lesson E7
E7 Solving trigonometric equations Quiz: AQA Maths, Unit 5
20 questions
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Lesson E7, Solving trigonometric equations: 20 multiple choice questions for the AQA Maths (7357), Unit 5: Trigonometry, written with Revision Ninja.
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The 20 questions
-
Solve sin x = 0 for 0 <= x < 2 pi.
- x = pi/6 and x = 5 pi/6
- x = pi/2 only
- x = 0, pi/2, pi and 3 pi/2
- x = 0 and x = pi
-
Solve cos x = -1 for 0 <= x < 2 pi.
- x = pi/2
- x = pi
- x = 0
- x = 3 pi/2
-
Solve tan x = 1 for 0 <= x < 2 pi.
- x = pi/4 and x = 3 pi/4
- x = pi/4 and x = 5 pi/4
- x = pi/4 only
- x = pi/6 and x = 7 pi/6
-
Solve 2 sin x = 1 for 0 <= x < 2 pi.
- x = pi/3 and x = 2 pi/3
- x = pi/6 and x = 5 pi/6
- x = pi/6 and x = 7 pi/6
- x = pi/2 only
-
How many solutions does sin x = 0.5 have for 0 <= x < 4 pi?
- 2
- 8
- 4
- 3
-
Solve cos 2x = 0 for 0 <= x < pi.
- x = pi/4, pi/2 and 3 pi/4
- x = pi/4 only
- x = pi/4 and x = 3 pi/4
- x = pi/2 only
-
Solve sin(x - pi/3) = 0 for 0 <= x < 2 pi.
- x = 0 and x = pi
- x = pi/3 and x = 4 pi/3
- x = pi/3 only
- x = pi/3 and x = 2 pi/3
-
Solve 2 sin^2 x - sin x - 1 = 0 for 0 <= x < 2 pi.
- x = pi/6, 5 pi/6 and 3 pi/2
- x = pi/2, 7 pi/6 and 11 pi/6
- x = pi/2 only
- x = 7 pi/6 and 11 pi/6
-
Solve cos^2 x = sin^2 x for 0 <= x < 2 pi.
- x = pi/4 and 5 pi/4
- x = pi/4, pi/2, pi and 3 pi/2
- x = pi/4, 3 pi/4, 5 pi/4 and 7 pi/4
- x = pi/4 and 3 pi/4
-
Solve 3 tan x = sqrt(3) for 0 <= x < pi.
- x = pi/6 and x = 7 pi/6
- x = pi/6
- x = pi/3
- x = 5 pi/6
-
Solve 4 cos^2 x - 3 = 0 for 0 <= x < 2 pi.
- x = pi/6, 5 pi/6, 7 pi/6 and 11 pi/6
- x = pi/3, 2 pi/3, 4 pi/3 and 5 pi/3
- x = pi/6 and 5 pi/6
- x = pi/6, pi/3, 5 pi/3 and 11 pi/6
-
Solve sin x + cos x = 0 for 0 <= x < 2 pi.
- x = pi/4 and 5 pi/4
- x = 3 pi/4 and 7 pi/4
- x = 3 pi/4 only
- x = pi/2 and 3 pi/2
-
Solve sin 2x = sin x for 0 <= x < 2 pi.
- x = 0, pi/3 and pi only
- x = 0, pi/3, pi and 5 pi/3
- x = pi/3 and 5 pi/3
- x = 0, pi/3, 2 pi/3 and pi
-
Solve 2 cos x = sec x for 0 <= x < 2 pi.
- x = pi/4, pi/2, 3 pi/4 and pi
- x = pi/4 and 3 pi/4
- x = pi/6, 5 pi/6, 7 pi/6 and 11 pi/6
- x = pi/4, 3 pi/4, 5 pi/4 and 7 pi/4
-
Solve tan 2x = sqrt(3) for 0 <= x < pi.
- x = pi/3 and x = 4 pi/3
- x = pi/6 only
- x = pi/6 and x = 2 pi/3
- x = pi/3 and x = 2 pi/3
-
Solve 3 sec x = 6 for 0 <= x < 2 pi.
- x = pi/3 and x = 5 pi/3
- x = pi/6 and x = 11 pi/6
- x = pi/3 and x = 2 pi/3
- x = pi/3 only
-
Solve sin 2x = 1 for 0 <= x < pi.
- x = pi/2
- x = pi/4
- x = pi/4 and x = 3 pi/4
- x = pi/8
-
Solve sin^2 x + cos x = 1 for 0 <= x < 2 pi.
- x = pi/2 and 3 pi/2
- x = 0, pi/2, pi and 3 pi/2
- x = 0 only
- x = 0, pi/2 and 3 pi/2
-
A height h = 5 + 3 sin theta metres, for 0 <= theta < 2 pi. For which theta is h = 6.5?
- theta = pi/2 only
- theta = pi/6 and 5 pi/6
- theta = pi/3 and 2 pi/3
- theta = pi/6 and 7 pi/6
-
How many solutions does 4 sin^2 theta = 3 have for 0 <= theta < 2 pi?
- 4
- 3
- 2
- 8
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