prove that the function is a periodic function
Asked by yashasvi0602 | 3rd Jun, 2020, 11:40: PM
Expert Answer:
f(x) = sin2x/(sin4x + cos4x) = sin2x/{1-(sin22x)/2}
sin 2x is periodic with period pi
sin22x is periodic with period pi/2
sin22x will also be periodic with period pi
We know that if f(x) and g(x) are periodic with period T then f(x)/g(x) will also be periodic with period T.
Therefore, sin2x/{1-(sin22x)/2} is periodic with period pi
i.e., f(x) is periodic with period pi
Note: This question does not belong to your syllabus, it belongs to class 11-12. This you will be learning in class 11.
sin22x will also be periodic with period pi
We know that if f(x) and g(x) are periodic with period T then f(x)/g(x) will also be periodic with period T.
Therefore, sin2x/{1-(sin22x)/2} is periodic with period pi
i.e., f(x) is periodic with period pi
Answered by Renu Varma | 4th Jun, 2020, 11:17: AM
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