What is the period of #f(t)=sin( ( 3t )/2 )+ cos( (9 t)/8 ) #?

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What is the period of #f(t)=sin( ( 3t )/2 )+ cos( (9 t)/8 ) #?

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Answer 1 · 2016-03-01T06:08:38

#(32pi)/3#

Explanation:

Period of #sin ((3t)/2) #--> #(4pi)/3#
Period of cos #((9t)/8)#--> #(16pi)/9#
Least multiple of #(16/9)# and #(4/3) #--> #(32/3)#
#(16/9).(6) = (32/3)#
#(4/3).(8) = (32/3)#

Period of #f(t) --> (32pi)/3#

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What is the period of #f(t)=sin( ( 3t )/2 )+ cos( (9 t)/8 ) #?

1 Answer

Explanation:

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