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The period of sin(π)/(4)[x]+cos(πx)/(2)+cos(π)/(3)[x], where "],[" [.] denotes the integral part of x is

The period of sin(π)/(4)[x]+cos(πx)/(2)+cos(π)/(3)[x], where "],[" [.] denotes the integral part of x is 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
Dear student 
sin(πx)/(4)[x]+cos(πx)/(2)+cos(π)/(3)[x]
We will break the question into 3 parts .sin(πx)/(4)[x], cos(πx)/(2) , cos(π)/(3)[x]
In first part 
T = 4 
in 2nd part T = 4 
In third part T = 3 
Take LCM of all three 
Time perio = 12 
 
 

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