-8pi/15
The expression \(-\frac{8\pi}{15}\) is a negative angle in radians. If you're working with angles in the context of trigonometry or calculus, here are a few useful points:
Converting to Degrees: To convert radians to degrees, use the formula: \[ \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \] For \(-\frac{8\pi}{15}\): \[ \text{Degrees} = -\frac{8\pi}{15} \times \frac{180^\circ}{\pi} = -\frac{8 \times 180}{15} = -96^\circ \]
Finding Coterminal Angles: Coterminal angles are found by adding or subtracting \(2\pi\) (or \(360^\circ\)) to the angle:
- In radians: \(-\frac{8\pi}{15} + 2\pi = -\frac{8\pi}{15} + \frac{30\pi}{15} = \frac{22\pi}{15}\) (a positive coterminal angle).
- In degrees: \(-96^\circ + 360^\circ = 264^\circ\).
Trigonometric Values: To find the sine, cosine, or tangent of this angle, you could use the unit circle or your calculator (keeping in mind it's in the fourth quadrant).
If you need further clarifications or applications, feel free to ask!
