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Answer 1 To learn the values of $ \sin $ and $ \cos $ on the unit circle, start with the key angles: $ 0, \frac{\pi}{6}, \frac{\pi}{4}, \frac{\pi}{3}, \frac{\pi}{2} $. At these angles, memorize the coordinates $ (1, 0), (\frac{\sqrt{3}}{2},...
Answer 1 To find the value of $ \arctan(1) $, we need to determine the angle whose tangent is 1. This angle is $ \frac{\pi}{4} $ radians or $ 45^{\circ} $.On the unit circle, the coordinates corresponding to $ \frac{\pi}{4} $ radians are $(...
Answer 1 To find the $\tan$ values for specific angles on the unit circle, we can use the unit circle properties. LetAnswer 2 To find the $ an$ values for specific angles on the unit circle, letAnswer 3 Find $ an$ values for $ heta = frac{5pi}{6}$, $...
Answer 1 To determine the values of $\tan(\theta)$ in each quadrant on the unit circle, we use the properties of trigonometric functions: In Quadrant I, where both sine and cosine are positive: $ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} > 0 $...
Answer 1 To find the cosine of $ \frac{\pi}{3} $ using the unit circle, follow these steps:1. Locate the angle $ \frac{\pi}{3} $ on the unit circle.2. The angle $ \frac{\pi}{3} $ corresponds to 60 degrees.3. The coordinates of this angle on the unit...
Answer 1 To find the exact values of $ \sin, \cos, $ and $ \tan $ for $ \frac{7\pi}{6} $ using the unit circle, we need to determine the coordinates of the point corresponding to this angle.Since $ \frac{7\pi}{6} $ is in the third quadrant, both sine...