`S_(1)` and `S_(2)` are two sources of light which produce individually disturbance at point `P` given by `E_(1)=3sin omegat,E_(2)=4 cos omegat.` Assume `vec(E_(1))&vecE_(2)` to along the same line, find the resultant after their superposition.

Explanation

To find the resultant electric field after the superposition of the two disturbances given by \( E_1 = 3 \sin(\omega t) \) and \( E_2 = 4 \cos(\omega t) \), we can follow these steps:

### Step 1: Rewrite \( E_2 \) in terms of sine
We know that \( \cos(\omega t) \) can be expressed in terms of sine:
\[ E_2 = 4 \cos(\omega t) = 4 \sin\left(\omega t + \frac{\pi}{2}\right) \]
This allows us to express both electric fields in terms of sine functions.
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