Amplitude and Period for Sine and Cosine Functions Worksheet



Sine/Cosine Graphing Name______________________

Determine the amplitude and period of each function.

1. y = 3 sin x 2. y = 4 cos 2x 3. y = - sin 3x

Amplitude:_______ Amplitude:_______ Amplitude:_______

Period:__________ Period:__________ Period:__________

4. y = 2 cos 4x 5. y = –6 sin 5 x 6. y = sin (–2x)

Amplitude:_______ Amplitude:_______ Amplitude:_______

Period:__________ Period:__________ Period:__________

7. y = sin [pic]x 8. y = –3 cos ½x 9. y = 8 cos (–4x)

Amplitude:_______ Amplitude:_______ Amplitude:_______

Period:__________ Period:__________ Period:__________

10. y = 4 sin ½ x 11. y = –5 cos ¾ x 12. y = 2 cos (–4x)

Amplitude:_______ Amplitude:_______ Amplitude:_______

Period:__________ Period:__________ Period:__________

Describe the functions below by stating their Amplitude, Period, Vertical Shift

Amplitude Period Vertical shift

10). y = 3 sin 2x + 1 ________ ________ ________________

11). y = - cos 4x + 2 ________ ________ ________________

12). y = sin x – 4 ________ ________ ________________

13 y = 3 cos 3x + 2 ________ ________ ________________

Give the amplitude and period of each function. Then sketch the graph of the function over the interval 0 ≤ x ≤ 2(.

13. y = 3 sin x

Amplitude:

Period:

14. y = 2 cos x

Amplitude:

Period:

15. y = 4 cos 4x

Amplitude:

Period:

16. y = 2 sin 2x Amplitude:

Period:

[pic]

17. y = 4 sin (3x)

Amplitude:

Per

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