What is the frequency of #f(theta)= sin t - cos t #?

2 Answers
Jun 24, 2016

#2pi#

Explanation:

Period of f(t) = cos t - sin t --> #2pi#
Period of f(t) is the least common multiple of #2pi# and #2pi#

Jun 24, 2016

#1/(2pi)#

Explanation:

The separate periods of sin t and cost are the same, #2pi#.

So, the period for the compounded oscillation f(t)=sin t-cos t is #2pi#.

The frequency is the reciprocal of the period and is #1/(2pi)#.