Find the period of f(x)=sinx +|sin3x|+[sin3x]

Answers (1)

Solution:   We have ,   f(x)=sin x+left | sin 3x 
ight |+[sin 3x]

           \ \ Rightarrow hspace1cmsin x
ightarrow T_1=frac2pi1\ \ Rightarrow hspace1cmleft | sin 3x 
ight |
ightarrow T_2=fracpi3\ \ Rightarrow hspace1cm[sin 3x]
ightarrow T_3=frac2pi3\ \ Rightarrow hspace1cmT=2pi

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