Two travelling sinusoidal waves described by the wave functions
`y _(1) = ( 5.00 m) sin [ pi ( 4.00 x - 1200 t)]`
and `y_(2) = ( 5.00 m) sin [ pi ( 4.00 x - 1200 t - 0.250)]`
Where `x , y_(1) and y_(2)` are in metres and `t` is in seconds. (a) what is the amplitude of the resultant wave ? (b) What is the frequency of resultant wave ?

Explanation

To solve the problem, we will analyze the two given wave functions and find the amplitude and frequency of the resultant wave.

### Given Wave Functions:
1. \( y_1 = (5.00 \, \text{m}) \sin [\pi (4.00 x - 1200 t)] \)
2. \( y_2 = (5.00 \, \text{m}) \sin [\pi (4.00 x - 1200 t - 0.250)] \)

### Step 1: Identify Parameters
From the wave functions, we can identify the following parameters:
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