by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Given a unit circle, find the equation of a tangent line at a point $(a,b)$ on the circle Answer 1 Lucas Brown To find the equation of the tangent line to the unit circle at the point $(a,b)$, recall that the unit circle is given by:$ x^2 + y^2 = 1 $Since the...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Learn the values of $ sin $ and $ cos $ on the unit circle Answer 1 James Taylor 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...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the value of $arctan(1)$ and its corresponding point on the unit circle Answer 1 Henry Green 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...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the $ an$ values for specific angles on the unit circle Answer 1 Ella Lewis To find the $tan$ values for specific angles on the unit circle, we can use the unit circle properties. Let Answer 2 Samuel Scott To find the $ an$ values for specific angles on the...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine the values of $ an( heta)$ in each quadrant on the unit circle Answer 1 Samuel Scott 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...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the cosine of $ frac{pi}{3} $ using the unit circle Answer 1 Emma Johnson 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...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the exact values of $ sin, cos, $ and $ an $ for $ frac{7pi}{6} $ using the unit circle. Answer 1 Samuel Scott To find the exact values of $ sin, cos, $ and $ tan $ for $ frac{7pi}{6} $ using the unit circle, we need to determine the coordinates of the point...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the $ an$ values of the unit circle at specific angles Answer 1 Emily Hall To find the $tan$ values of the unit circle at specific angles, we can use the fact that $tan(theta) = frac{sin(theta)}{cos(theta)}$: 1. At $theta = frac{pi}{4}$, $ tan(frac{pi}{4}) =...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle corresponding to the angle $frac{7pi}{6}$ Answer 1 Olivia Lee To find the coordinates on the unit circle for the angle $frac{7pi}{6}$, we use the unit circle properties: The unit circle coordinates $(x, y)$ for...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the values of $sin( heta)$, $cos( heta)$, and $ an( heta)$ for $ heta = frac{pi}{4}$ using the unit circle Answer 1 Samuel Scott To find the values of $sin(theta)$, $cos(theta)$, and $tan(theta)$ for $theta = frac{pi}{4}$ using the unit circle, we use the...