What is the period of sin (5*x)?

1 Answer
Jan 30, 2016

period=72^@

Explanation:

The general equation for a sine function is:

f(x)=asin[k(x-d)]+c

where:
|a|=amplitude
|k|=horizontal stretch/compression or 360^@/"period"
d=phase shift
c=vertical translation

In this case, the value of k is 5. To find the period, use the formula, k=360^@/"period":

k=360^@/"period"

5=360^@/"period"

5*"period"=360^@

"period"=360^@/5

"period"=72^@

:., the period is 72^@.