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

Explanation

`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))]`