PopAi provides you with more humanistic knowledge.
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Start Using PopAi Today
Suggested Content
More >
Answer 1 To find the values of $ \tan(\theta) $ for specific angles on the unit circle, consider the angles $ \theta = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4} $:For $ \theta = \frac{\pi}{4} $:$ \tan\left(\frac{\pi}{4}\right) = 1...
Answer 1 To find the coordinates on the unit circle for an angle $ \theta $, we use the trigonometric functions sine and cosine. The coordinates are given by:\n $ (x, y) = (\cos(\theta), \sin(\theta)) $\n For example, if $ \theta = \frac{\pi}{4} $,...
Answer 1 To find points on the unit circle where $ \sec(\theta) = 2 $, recall that: $ \sec(\theta) = \frac{1}{\cos(\theta)} $ Thus, we need: $ \frac{1}{\cos(\theta)} = 2 $ So: $ \cos(\theta) = \frac{1}{2} $ The angles on the unit circle with $...
Answer 1 First, recall the equation of the unit circle: $ x^2 + y^2 = 1 $Substitute $ y = 2x + 1 $ into the unit circle equation: $ x^2 + (2x + 1)^2 = 1 $Expand and simplify the equation: $ x^2 + 4x^2 + 4x + 1 = 1 $$ 5x^2 + 4x = 0 $Factor the...
Answer 1 To find the angle $\theta$ in degrees for which $\sin(\theta) = \cos(\theta)$ on the unit circle, start by equating the two trigonometric functions: $ \sin(\theta) = \cos(\theta) $ Divide both sides by $\cos(\theta)$ (where $\cos(\theta)...
Answer 1 To find the coordinates of the point where the terminal side of the angle $ \frac{5\pi}{6} $ intersects the unit circle, we use the unit circle definition:The coordinates are given by:$ (\cos(\theta), \sin(\theta)) $For $ \theta =...