Find an angle between 0 and $$ 2 \pi $$ that is coterminal to $$ \frac{25 \pi}{6} $$. The angle $$ \square $$ is coterminal to $$ \frac{25 \pi}{6} $$.

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To find an angle that is coterminal with $$ \frac{25 \pi}{6} $$, we can subtract $$ 2\pi $$ (which is equivalent to $$ \frac{12\pi}{6} $$) until the angle falls within the range of $$ 0 $$ to $$ 2\pi $$.

Let's perform the calculation step by step:

1. Start with the angle $$ \frac{25 \pi}{6} $$.
2. Subtract $$ 2\pi $$ (or $$ \frac{12\pi}{6} $$) from $$ \frac{25 \pi}{6} $$.

The calculation will be:

$$
\frac{25 \pi}{6} - \frac{12 \pi}{6}
$$

Now, let's compute this expression.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{25\pi }{6}-\frac{12\pi }{6}$$
- step1: Divide the terms:
  $$\frac{25\pi }{6}-2\pi $$
- step2: Reduce fractions to a common denominator:
  $$\frac{25\pi }{6}-\frac{2\pi \times 6}{6}$$
- step3: Transform the expression:
  $$\frac{25\pi -2\pi \times 6}{6}$$
- step4: Multiply the terms:
  $$\frac{25\pi -12\pi }{6}$$
- step5: Subtract the numbers:
  $$\frac{13\pi }{6}$$
After performing the calculation, we find that:

$$
\frac{25 \pi}{6} - \frac{12 \pi}{6} = \frac{13 \pi}{6}
$$

Thus, the angle $$ \frac{13 \pi}{6} $$ is coterminal with $$ \frac{25 \pi}{6} $$ and lies within the range of $$ 0 $$ to $$ 2\pi $$.

So, the angle $$ \square $$ is $$ \frac{13 \pi}{6} $$.
The angle $$ \square $$ is $$ \frac{13 \pi}{6} $$.

Find an angle between 0 and that is coterminal to .
The angle is coterminal to .

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