Question

Find the period of sinwt+cos2 wt+sin 4wt..

Answer 1

Answer:

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Answer 2

Answer:

sinwt + cos2wt + sin4wt

here period of sinwt = 2π

period of cos2wt = 2π/2 = π

period of sin4wt = 2π/4 = π/2

so the period of sinwt + cos2wt + sin4wt = LCM { 2π , π , π/2} = LCM of {2π , π , π}/HCF { 1, 1, 2}

= 2π/1 = 2π

Therefore the period of sinwt + cos2wt + sin4wt is 2π.

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hope it help u