Trigonometric Functions (Edexcel A-Level Mathematics): Quizzes

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Transformations of Trigonometric Functions
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10 questions from this quiz

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What is the amplitude of y=3sin(x)y = 3\sin(x)?

33

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?

180180^\circ

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

π2\frac{\pi}{2}

How does y=cos(x)+3y = \cos(x) + 3 transform the basic cosine graph?

Shifts up 3 units

In y=sin(x30)y = \sin(x - 30^\circ), which direction does the graph shift?

Right

What transformation does y=sin(x)y = -\sin(x) apply to the basic sine graph?

Reflection across x-axis

In y=2sin(3x45)+1y = 2\sin(3x - 45^\circ) + 1, what is the amplitude?

22

What is the period of y=3cos(2x+60)2y = -3\cos(2x + 60^\circ) - 2 in degrees?

180180^\circ

For y=3cos(2x+60)2y = -3\cos(2x + 60^\circ) - 2, what is the phase shift?

3030^\circ left

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