period of function

👨🏻‍🏫 學術台數學

Ellen

2008-07-17 11:44 pm

The period of the function f(x) = sin4x is
A. 45o
B. 90o
C. 180o
D. 1440o

更新1:

A. 45o = 45 degree B. 90o = 90 degree C. 180o = 180 degree D. 1440o = 1440 degree

回答 (3)

用戶10012

2008-07-17 11:59 pm

✔ 最佳答案

For y = sin(nx), n = frequency of the function. Period = 1/n.
Now n = 4, therefore, period = 1/4 = 0.25, that is 0.25 of 360 degree = 90 degree.

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[匿名]

2008-07-18 12:09 am

The correct answer is B not 90degrees

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STEVIE-G™

2008-07-17 11:58 pm

For sine function , i.e. f(x)=sinx ,the period is 360 degrees
Therefore , for sin4x
the period of sin4x when 4x=360--->x=90 degrees

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