How do you simplify this expression sin(4π+x)?

1 Answer
Mar 31, 2018

#sin(4pi+x)=sinx#

Explanation:

The period of #sinx# is #2pi,# meaning that all values of sine repeat every #2pi# units, or

#sin(x)=sin(x+-2pi)=sin(x+-4pi)=sin(x+4pin)# where #n# is any integer.

So,

#sin(4pi+x)=sinx#