Determine the $ an$ values for specific angles on the unit circle.
Answer 1
Matthew Carter
To determine the tangent values for angles $\frac{\pi}{4}$, $\frac{2\pi}{3}$, and $\frac{5\pi}{6}$ on the unit circle, follow these steps:
1. For the angle $\frac{\pi}{4}$: $\tan \left( \frac{\pi}{4} \right) = 1$
2. For the angle $\frac{2\pi}{3}$: $\tan \left( \frac{2\pi}{3} \right) = -\sqrt{3}$
3. For the angle $\frac{5\pi}{6}$: $\tan \left( \frac{5\pi}{6} \right) = -\frac{\sqrt{3}}{3}$
Thus, the tangent values are $1$, $-\sqrt{3}$, and $-\frac{\sqrt{3}}{3}$ respectively.
Answer 2
John Anderson
To find the tangent values for $frac{pi}{4}$, $frac{2pi}{3}$, and $frac{5pi}{6}$ on the unit circle, follow these steps:
1. For the angle $frac{pi}{4}$: $ an left( frac{pi}{4}
ight) = 1$
2. For the angle $frac{2pi}{3}$: $ an left( frac{2pi}{3}
ight) = -sqrt{3}$
3. For the angle $frac{5pi}{6}$: $ an left( frac{5pi}{6}
ight) = -frac{1}{sqrt{3}}$
Therefore, the tangent values are $1$, $-sqrt{3}$, and $-frac{1}{sqrt{3}}$ respectively.
Answer 3
Olivia Lee
To find the $ an$ values for angles of $frac{pi}{4}$, $frac{2pi}{3}$, and $frac{5pi}{6}$:
1. $ an left( frac{pi}{4}
ight) = 1$
2. $ an left( frac{2pi}{3}
ight) = -sqrt{3}$
3. $ an left( frac{5pi}{6}
ight) = -frac{sqrt{3}}{3}$
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