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The function f(x)= k Isin xI + k 2 Icos xI +g(q) has period = pi/2, then k is: (a) 2 (b) 1 (c)3 (d) none of these. How?

The function f(x)= k Isin xI + k2Icos xI +g(q) has period = pi/2, then k is:


(a) 2 (b) 1 (c)3 (d) none of these. How?

Grade:12th Pass

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Aditi,

 

g(q) is a constant function, and hence always periodic.

 

So the period of k|sinx| + k2|cosx| should be pi/2.

Which is possible only when k=1

 

Since the period of f(x) = |sinx| + |cosx| is pi/2

Note that f(x+pi/2) = f(x) for k=1 only.

 

Hence Option (B).

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

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