Two waves are given as `y_1=3A cos (omegat-kx)` and `y_2=A cos (3omegat-3kx)` . Amplitude of resultant wave will be ____

Explanation

To find the amplitude of the resultant wave formed by the superposition of two waves given by the equations \( y_1 = 3A \cos(\omega t - kx) \) and \( y_2 = A \cos(3\omega t - 3kx) \), we can follow these steps:

### Step 1: Identify the Amplitudes
From the given wave equations, we can identify the amplitudes of the two waves:
- The amplitude of the first wave \( y_1 \) is \( A_1 = 3A \).
- The amplitude of the second wave \( y_2 \) is \( A_2 = A \).

### Step 2: Determine the Phase Difference
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