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Find the time period of the following given function with explanation.

Find the time period of the following given function with explanation.

Question Image
Grade:11

1 Answers

Khimraj
3007 Points
3 years ago
First method is to reduce this expression by applying trignometric formula and then calculate time period.
Second method is -
Time period of sinwt = 2π/w
Time period of cos2wt = 2π/2w
Time period of sin4wt = 2π/4w
So time period of sinwt + cos2wt + sin4wt = (LCM of numerators)/(HCF of denominators)
= (LCM of 2π, 2π, 2π)/(HCF of w, 2w, 4w) = 2π/w.
 
Hope it clears.

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