Graphs of Trigonometric Functions (Edexcel A-Level Mathematics): Flashcards

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Graphs of Trigonometric Functions
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What is the period of the sine function?

The period is 360°360° (or 2π2\pi radians).

What is the amplitude of y=sin⁡xy = \sin x?

The amplitude is 11.

Where are the maximum points of sine function?

At x=90°,450°x = 90°, 450°, where y=1y = 1.

What is the shape of the cosine graph?

It's a smooth, continuous wave.

What is the period of the cosine function?

The period is 360°360° (or 2π2\pi radians).

Where are the minimum points of cosine function?

At x=180°,540°x = 180°, 540°, where y=−1y = -1.

What is y=tan⁡xy = \tan x's period?

The period is 180°180° (or π\pi radians).

When is tan⁡x\tan x undefined?

At x=90°x = 90° and 270°270° (vertical asymptotes).

What does AA do in y=Asin⁡xy = A \sin x?

AA affects the amplitude of the graph.

How does y=sin⁡(Bx)y = \sin(Bx) affect the graph?

It changes the period to 360°/B360°/B.

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