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What is the frequency of #f(theta)= sin 5 t - cos 15 t #?

1 Answer

Mar 25, 2016

#(2pi)/5#

Explanation:

Period of sin (5t) ---> #(2pi)/5#
Period of cos (15t) ---> #(2pi)/15#
Period of f(t) --> least common multiple of (2pi)/5 and (2pi)/15.

#(2pi)/5# x (1) ---># (2pi)/5#
#(2pi)/15# x (3) ---> #(2pi)/5#
Period of f(t) --> #(2pi)/5#

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