Sine and Cosine Functions

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Flashcards on the properties and equations of sine and cosine functions, including amplitude and period.

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16 Terms

1
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Amplitude

The maximum distance from the midline of the graph to its peak or trough.

2
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Period

The length of one complete cycle of a periodic function.

3
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y = sin(4x)

A sine function with an amplitude of 1 and a period of π/2.

4
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y = cos(5x)

A cosine function with an amplitude of 1 and a period of 2π/5.

5
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y = 4 cos(x)

A cosine function with an amplitude of 4 and a period of 2π.

6
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y = -2 sin(x)

A sine function with an amplitude of 2 (negative indicating reflection) and a period of 2π.

7
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y = 2 sin(4x)

A sine function with an amplitude of 2 and a period of π/2.

8
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y = 3 sin(3x)

A sine function with an amplitude of 3 and a period of 2π/3.

9
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y = -4 cos(5x)

A cosine function with an amplitude of 4 (negative indicating reflection) and a period of 2π/5.

10
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y = 3 cos(-2x)

A cosine function with an amplitude of 3, the period remains 2π/2 = π.

11
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y = 4 sin(x)

A sine function with an amplitude of 4 and a period of 2π.

12
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y = 2 cos(x)

A cosine function with an amplitude of 2 and a period of 2π.

13
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y = 2 sin(2x)

A sine function with an amplitude of 2 and a period of π.

14
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y = cos(2x)

A cosine function with an amplitude of 1 and a period of π.

15
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y = 3 cos(2x)

A cosine function with an amplitude of 3 and a period of π.

16
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y = 2 sin(4x)

A sine function with an amplitude of 2 and a period of π/2.