Find an angle between 0 and $$ 2 \pi $$ that is coterminal to $$ -\frac{2 \pi}{21} $$, The angle $$ \square $$ is coterminal to $$ -\frac{2 \pi}{21} $$,

Question

UpStudy AI · Accepted Answer

1. We are given the angle 
   $$
   -\frac{2\pi}{21}.
   $$
2. To find a coterminal angle between $$ 0 $$ and $$ 2\pi $$, we add $$ 2\pi $$ to the given angle:
   $$
   -\frac{2\pi}{21} + 2\pi.
   $$
3. Express $$ 2\pi $$ as a fraction with denominator $$ 21 $$:
   $$
   2\pi = \frac{42\pi}{21}.
   $$
4. Add the fractions:
   $$
   -\frac{2\pi}{21} + \frac{42\pi}{21} = \frac{40\pi}{21}.
   $$
5. Therefore, the angle
   $$
   \frac{40\pi}{21}
   $$
   is coterminal to 
   $$
   -\frac{2\pi}{21}
   $$
   and lies in the range $$ 0 \leq \theta < 2\pi $$.
The angle $$ \frac{40\pi}{21} $$ is coterminal to $$ -\frac{2\pi}{21} $$.

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

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Trigonometry Questions

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