Unit Circle

Answer 1 To find the coordinates of the point where the angle $ \frac{7\pi}{6} $ intersects the unit circle, we first identify the reference angle. The reference angle for $ \frac{7\pi}{6} $ is $ \frac{\pi}{6} $.The coordinates for the angle $...

Answer 1 The unit circle has a radius of 1. To draw a point at angle $ \frac{\pi}{4} $, use the coordinates:$ (\cos(\frac{\pi}{4}), \sin(\frac{\pi}{4})) $Since $ \cos(\frac{\pi}{4}) = \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $, the point is:$...

Answer 1 To find the coordinates of the point where the terminal side of $ \theta $ intersects the unit circle at $ \theta = \frac{5\pi}{6} $, we use the unit circle definition and the corresponding reference angle. The reference angle for $ \theta =...

Answer 1 A unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. The equation of the unit circle is given by:$ x^2 + y^2 = 1 $In trigonometry, the unit circle is used to define the trigonometric functions sine...

Answer 1 To find the sine value for $ \frac{5\pi}{6} $ on the unit circle, we follow these steps:First, understand that $ \frac{5\pi}{6} $ is in the second quadrant.The reference angle is $ \pi - \frac{5\pi}{6} = \frac{\pi}{6} $.In the second...