# What is the period of #f(t)=sin( 7t )+ cos( 8t ) #?

##### 1 Answer

Feb 16, 2016

Period of function is

#### Explanation:

To find period (or frequency, which is nothing but inverse of period) of the function, we first need to find whether the function is periodic. For this, the ratio of the two related frequencies should be a rational number, and as it is

The period of

Hence, period of function is

(for this we have to take LCM of two fractions