Question #7d614

1 Answer
Dec 29, 2016

The period is =4pi

Explanation:

The period of the sum of 2 periodic functions is the LCM of their periods.

The period of sin(x/2) is =2/(1/2)pi=4pi

The period of cos(x/2) is =2/(1/2)pi=4pi

4=2*2

4=2*2

LCM (4,4)=4

The LCM of 4pi and 4pi is =4pi

The period is T=4pi

graph{sin(x/2)-cos(x/2) [-12.76, 19.27, -7.66, 8.36]}