Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of `2^(@)` to the right with the vertical, the other pendulum makes an angle of `1^(@)` to the left of the vertical. What is the left of the vertical. What is the phase difference between the pendulums?

Explanation

To find the phase difference between the two identical pendulums, we can follow these steps:

### Step 1: Understand the positions of the pendulums
- The first pendulum (Pendulum 1) is at its extreme position making an angle of \(2^\circ\) to the right of the vertical.
- The second pendulum (Pendulum 2) is at an angle of \(1^\circ\) to the left of the vertical.

### Step 2: Define the angular displacements
- For Pendulum 1, at its extreme position, the angular displacement is:
...