Find Period of f(x)=|sin x|+|cos x| is

Answers (1)

Solution:   We have , f(x)=left | sin x 
ight |+left | cos x 
ight |

          \ \ Rightarrow hspace1cmleft | sin x 
ight | 
ightarrow T_1=fracpi1\ \ Rightarrow hspace1cm left | cos x 
ight |
ightarrow T_2=fracpi1\ \ Rightarrow hspace1cmT=fracLCM hspace0.2cmof hspace0.2cm pi HCF hspace0.2cmof hspace0.2cm 1=pi

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