Lesson 5.2.1
5.2.1 Small angle approximations Quiz: Pearson Edexcel Maths, Unit 5
20 questions
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Lesson 5.2.1, Small angle approximations: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 5: Trigonometry, written with Revision Ninja.
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The 20 questions
-
What is the small angle approximation for sin x when x is in radians?
- x
- x^2
- 1
- cos x
-
What is the small angle approximation for cos x in radians?
- 1
- x
- 1 - (x^2)/2
- 1 - x
-
What is the small angle approximation for tan x in radians?
- x^2
- x
- 1
- sin x
-
In which unit must angles be measured to use small angle approximations?
- Radians
- Gradians
- Degrees
- Revolutions
-
What does x approach for small angle approximations to be valid?
- Infinity
- Zero
- Pi over two
- One
-
What is the approximation for sin(3x) for small values of x?
- 9x
- x/3
- 3x
- 3 - x
-
What is the approximation for tan(2x) when x is small?
- 2 + x
- 4x
- 2x
- x/2
-
Approximate the expression sin(5x) / x for small x.
- 5x
- 0
- 1
- 5
-
Evaluate the limit of sin(3x) / (2x) as x approaches zero.
- 1
- 2/3
- 3/2
- 0
-
Find the small angle approximation for (1 - cos x) / x^2.
- 0
- 2
- 1
- 1/2
-
Simplify tan(4x) + sin(2x) for small x.
- 2x
- 8x^2
- 8x
- 6x
-
Estimate the value of cos(0.1) using a small angle approximation.
- 0.9
- 0.99
- 0.995
- 0.999
-
What is the small angle approximation for sin^2(x)?
- 2x
- x^4
- x^2
- x
-
What is the approximation for x sin(2x) when x is small?
- x^2
- 2x^2
- 2x
- 4x^2
-
Evaluate the limit of (cos x - 1) / (x sin x) as x approaches 0.
- 0
- -1/2
- -1
- 1/2
-
What is the small angle approximation for 3 sin(x) + 2 cos(x)?
- 2 + 3x
- 3 + 2x
- 2 - 3x
- 5x
-
Approximate the fraction sin(4x) / tan(2x) for small x.
- 1
- 1/2
- 2
- 4
-
Find the small angle approximation for 1 - cos(5x).
- 12.5x^2
- 5x^2
- 2.5x^2
- 25x^2
-
What is the small angle approximation for cos(4x) using standard expansions?
- 1 - 8x^2
- 1 - 4x^2
- 8x^2
- 1 - 16x^2
-
Evaluate the limit of (1 - cos(2x)) / x^2 as x approaches zero.
- 0
- 4
- 1
- 2
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