Trigonometric Functions (AQA A-Level Mathematics): Quizzes

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Transformations of Trigonometric Functions
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What is the amplitude of y=2sin⁡(x)y = 2\sin(x)?

22

What is the amplitude of y=12cos⁡(x)y = \frac{1}{2}\cos(x)?

0.50.5

What is the period of y=sin⁡(2x)y = \sin(2x) in degrees?

180°180°

What is the period of y=cos⁡(12x)y = \cos(\frac{1}{2}x) in degrees?

720°720°

What is the period of y=tan⁡(2x)y = \tan(2x) in degrees?

90°90°

How does y=sin⁡(x)+2y = \sin(x) + 2 transform the basic sine graph?

Shifts 2 units upwards

How does y=cos⁡(x−30°)y = \cos(x - 30°) transform the basic cosine graph?

Shifts 30° right

What effect does the negative sign have in y=−sin⁡(x)y = -\sin(x)?

Reflects across x-axis

For y=3sin⁡(2x)y = 3\sin(2x), what are the amplitude and period in degrees?

Amplitude 3, period 180°

In y=−3cos⁡(2x+60°)−2y = -3\cos(2x + 60°) - 2, what is the phase shift?

Left by 30°

Explore AQA A-Level Mathematics Revision Notes by Topics

Basic Trigonometry

Trigonometric Functions

Trigonometric Equations

Radian Measure

Reciprocal & Inverse Trigonometric Functions

Compound & Double Angle Formulae

Further Trigonometric Equations

Trigonometric Proof

Modelling with Trigonometric Functions

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Modelling with Trigonometric Functions

Explore AQA A-Level Mathematics Model Answers by Topics

Basic Trigonometry

Trigonometric Functions

Trigonometric Equations

Radian Measure

Reciprocal & Inverse Trigonometric Functions

Compound & Double Angle Formulae

Further Trigonometric Equations

Trigonometric Proof

Modelling with Trigonometric Functions

Show more

Modelling with Trigonometric Functions

Explore AQA A-Level Mathematics Flashcards by Topics

Basic Trigonometry

Trigonometric Functions

Trigonometric Equations

Radian Measure

Reciprocal & Inverse Trigonometric Functions

Compound & Double Angle Formulae

Further Trigonometric Equations

Trigonometric Proof

Modelling with Trigonometric Functions

Show more

Modelling with Trigonometric Functions

Explore AQA A-Level Mathematics Exam Questions by Topics

Basic Trigonometry

Trigonometric Functions

Trigonometric Equations

Radian Measure

Reciprocal & Inverse Trigonometric Functions

Compound & Double Angle Formulae

Further Trigonometric Equations

Trigonometric Proof

Modelling with Trigonometric Functions

Show more

Modelling with Trigonometric Functions

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