# What is the period of #f(t)=sin( ( 5 t ) /3 ) #?

##### 1 Answer

Dec 31, 2015

In order to find the period of a trigonometric function, we must equal its argument to

#### Explanation:

Every trigonometric function, as a sine or a cosine, has a period, which is the distance between two consecutive values of

For sine and cosine, period equals

To find the period of a trigonometric function, we must make its argument equal to a period extremes. For example,

#{5t}/3 = 0 rightarrow t_1 = 0# #{5t}/3 = 2 pi rightarrow t_2 = 6/5 pi#

So period is