What is the frequency of #f(theta)= sin 24 t - cos 27 t #?

1 Answer
Nghi N.
Jun 19, 2016

#2pi#

Explanation:

Period of sin t --> #2pi#
Period of #sin (24t) = (2pi)/24#
Period of cos t --> #2pi#
Period of cos 27t --> #(2pi)/27#
Find least common multiple of #(2pi)/24# and #(2pi)/27#

#(2pi)/24# ...x...(24) --> #2pi#
#(2pi)/27# ...x...(27)--> #2pi#
Therefor, the period of f(t) --> #2pi, or 6.28#

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