Answer 1 To express the coordinates of key points on the unit circle in terms of trigonometric functions, remember that each point on the unit circle corresponds to an angle $\theta$ and can be written as $(\cos(\theta), \sin(\theta))$. For example:...

Answer 1 To find the value of $ \arcsin(x) $ for $ x = \sqrt{3}/2 $ on the unit circle, we need to determine the angle $ \theta $ such that $ \sin(\theta) = \sqrt{3}/2 $ and $ \theta $ lies in the range $ [-\frac{\pi}{2}, \frac{\pi}{2}] $.The angle $...

Answer 1 Given the unit circle, find the sine and cosine values for the following angles: 1. txt1 txt1 txt1$ radians 2. $\frac{\pi}{4}$ radians 3. $\frac{\pi}{2}$ radians 1. At txt1 txt1 txt1$ radians, the coordinates are $(1, 0)$, so the sine value...

Answer 1 To find the angle in radians for the point $(-\frac{1}{2}, -\frac{\sqrt{3}}{2})$ on the unit circle, we first identify the coordinates. These coordinates correspond to one of the 30-60-90 triangleAnswer 2 For the point $(-frac{1}{2},...

Answer 1 To determine the coordinates of a point on the unit circle given the angle $ \theta $, use the unit circle formulas:$ x = \cos(\theta) $$ y = \sin(\theta) $For example, if $ \theta = 60^\circ $:$ x = \cos(60^\circ) = \frac{1}{2} $$ y =...