Trigonometry Graphs: ABC Basics

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Learn trig graphs quickly.

Created by

Sin Yee Goh

Malaysia

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Froggy Jumps Trigonometry Graphs: ABC BasicsOnline version Learn trig graphs quickly. by Sin Yee Goh 1 Which trig function has a period of 2π? a Cosecant b Sine c Tangent 2 The sine graph passes through the origin (0,0). a True b False c Only at multiples of π 3 Amplitude of y = 3 sin(x) is 3. a False b True c 3π 4 Graph y = sin(x - π/2) is a sine wave shifted right by π/2. a True b False c Shifted left by π/2 5 Which graph has vertical asymptotes? a Tangent b Cosine c Sine 6 The graph of y = 2 cos(x) has midline at y = 0. a True b Midline at y = 1 c False 7 Both sine and cosine have the same period. a False b Only sine has 2π c True 8 Zeros of sin(x) in [0, 2π) occur at x = 0, π, 2π. a True b Only at π c False 9 What is sin(π/2)? a 1 b 0 c -1 10 Where is tan(x) undefined? a x = π/2 + kπ b x = kπ c x = π/4 + kπ/2

Froggy Jumps

Trigonometry Graphs: ABC BasicsOnline version

Learn trig graphs quickly.

by Sin Yee Goh

Which trig function has a period of 2π?

Cosecant

Sine

Tangent

The sine graph passes through the origin (0,0).

True

False

Only at multiples of π

Amplitude of y = 3 sin(x) is 3.

False

True

3π

Graph y = sin(x - π/2) is a sine wave shifted right by π/2.

True

False

Shifted left by π/2

Which graph has vertical asymptotes?

Tangent

Cosine

Sine

The graph of y = 2 cos(x) has midline at y = 0.

True

Midline at y = 1

False

Both sine and cosine have the same period.

False

Only sine has 2π

True

Zeros of sin(x) in [0, 2π) occur at x = 0, π, 2π.

True

Only at π

False

What is sin(π/2)?

-1

Where is tan(x) undefined?

x = π/2 + kπ

x = kπ

x = π/4 + kπ/2

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Trigonometry Graphs: ABC Basics

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Trigonometry Graphs: ABC BasicsOnline version

by Sin Yee Goh

Which trig function has a period of 2π?

The sine graph passes through the origin (0,0).

Amplitude of y = 3 sin(x) is 3.

Graph y = sin(x - π/2) is a sine wave shifted right by π/2.

Which graph has vertical asymptotes?

The graph of y = 2 cos(x) has midline at y = 0.

Both sine and cosine have the same period.

Zeros of sin(x) in [0, 2π) occur at x = 0, π, 2π.

What is sin(π/2)?

Where is tan(x) undefined?

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