Curly waves

Equation of two waves are
\(y = A \sin(wt - kx)\)
\(y=A \sin(wt - kx + 90)\) 90 denotes 90 degrees,
A is amplitude,w is angular frequency, \(k\) is wave number;

Now the equation of the resulting wave can be represented as
\(y = A\sqrt [ 2 ]{ a } \sin(wt - kx + b)\) where \(a\) is an integer, and \(b\) is in degrees
Find \((b*2)/(a*5)\).

This is a part of my set Aniket's Mechanics Challenges


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