The equation of displacement of two waves are given as ` y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t]` Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as ` y_(1) = 10 si

1.	The equation of displacement of two waves are given as ` y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t]` Then what is the ratio of their amplitudes
Answer» `y_(2) = 5 sin (3 pi t) + 5 sqrt3 cos (3 pi t)` `A = sqrt(5^(2) + (5sqrt3)^(2)) = 10` `tan phi = sqrt3, phi = pi//3` `y_(2) = 10 sin [3 pi t + (pi)/(3))]`

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The equation of displacement of two waves are given as ` y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t]` Then what is the ratio of their amplitudes

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