by hanjianwei | Feb 13, 2025 | Tech
What is DeepSeek R1 Model? Overview and Key FeaturesDeepSeek R1 Model represents a significant advancement in the realm of artificial intelligence and machine learning. Designed with cutting-edge technology, this model brings together sophisticated algorithms and a...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the tangent of the angle $ heta $ in the unit circle Answer 1 Olivia Lee Consider the unit circle, where the radius is 1. Let $ theta $ be an angle in standard position.The coordinates of the point on the unit circle at an angle $ theta $ are $(cos theta,...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the angle given the coordinates on the unit circle Answer 1 Chloe Evans Given the coordinates ((frac{1}{2}), (frac{sqrt{3}}{2})) on the unit circle, find the corresponding angle in degrees.The unit circle has a radius of 1. The coordinates ((x, y) ) on the...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $ ext{Determine the quadrant of an angle on the unit circle}$ Answer 1 Emily Hall Given an angle of 150° on the unit circle, determine which quadrant it is in.To determine which quadrant 150° is in, we note that if the angle is between 90° and 180°, it lies in...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home What is the value of $sin(30°)$ and $cos(30°)$ on the unit circle? Answer 1 Daniel Carter First, we need to recall the values of sine and cosine for common angles on the unit circle. For $30°$ (or $frac{pi}{6}$ radians):$sin(30°) = frac{1}{2}$$cos(30°) =...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $ ext{Evaluate the cosine of an angle using the unit circle in the complex plane} $ Answer 1 Henry Green $ text{Given an angle } theta text{, we need to find } cos(theta) text{ using the unit circle in the complex plane.} $ $ text{On the unit circle, the...
by zhanhongyuan | Feb 13, 2025 | Math
Home Find the sine and cosine of the angle $ heta = frac{pi}{4}$ on the unit circle. Answer 1 William King On the unit circle, the coordinates of a point corresponding to an angle $theta$ are $(costheta, sintheta)$. For $theta = frac{pi}{4}$, we need to find the sine...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home In which quadrant does the point $(0.5, 0.5)$ lie on the unit circle? Answer 1 Isabella Walker To determine the quadrant of the point $(0.5, 0.5)$ on the unit circle, we need to consider the signs of the x and y coordinates.Both $x = 0.5$ and $y = 0.5$ are...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the value of $sec(frac{pi}{3})$ on the unit circle Answer 1 Olivia Lee To find the value of $sec(frac{pi}{3})$, we need to first determine the cosine of $frac{pi}{3}$. On the unit circle, $cos(frac{pi}{3}) = frac{1}{2}$. The secant function is the reciprocal...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the equation of a circle with center at $(h, k)$ and radius $1$ Answer 1 Amelia Mitchell The general equation of a circle with center $(h, k)$ and radius $r$ is given by:$ (x – h)^2 + (y – k)^2 = r^2 $For a unit circle, the radius $r = 1$....
