A negative angle greater than $$ -2 \pi $$ that is coterminal to $$ \frac{\pi}{3} $$ is $$ \square $$.

Question

UpStudy AI · Accepted Answer

Let $$ \theta = \frac{\pi}{3} $$. To find a coterminal angle, we add or subtract integer multiples of $$ 2\pi $$.

Since we need a negative angle, we subtract $$ 2\pi $$:

$$
\theta_{\text{negative}} = \frac{\pi}{3} - 2\pi
$$

Write $$2\pi$$ with a common denominator:

$$
2\pi = \frac{6\pi}{3}
$$

Then,

$$
\theta_{\text{negative}} = \frac{\pi}{3} - \frac{6\pi}{3} = -\frac{5\pi}{3}
$$

Thus, a negative angle greater than $$ -2\pi $$ that is coterminal to $$ \frac{\pi}{3} $$ is $$-\frac{5\pi}{3}$$.
A negative angle greater than $$ -2\pi $$ that is coterminal to $$ \frac{\pi}{3} $$ is $$-\frac{5\pi}{3}$$.

A negative angle greater than that is coterminal to is .

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Trigonometry Questions