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Question

Thr period of the function : f(x)=3sin2{3x}+5cos3{2x} is (where {} denotes fraction part function)

A
1
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B
1.0
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C
1.00
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Solution

We know that, period of {x} is 1 .
So the period of function {3x} is 13.
Hence, period of 3sin2{3x} is 13.
and period of 5cos3{2x} is 12.

Period of f(x)=LCM of 12 and 13 is :
LCM=LCM of (1,1)HCF of (2,3)=11=1

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