If two `S.H.M.'s` are represented by equation `y_(1) = 10 "sin" [3pit+(pi)/(4)]` and `y_(2) = 5[sin(3pit)+sqrt(3)cos(3pit)]` then find the ratio of their amplitudes and phase difference in between them.

Explanation

`y_1=10 sin ( 3pi t+pi//4)`
`y_2=5 sin 3pit+5 sqrt3 cos 3 pit`
`A_1= 10, a_1=5, b_1= 5 sqrt3`
`A_2= sqrt(a_1^2+b_1^2)=sqrt(5^2+(5 sqrt3))^2=10`
`(A_1)/(A_2)=(10)/(10)=1:1`