by zhanhongyuan | Feb 9, 2025 | Math
Home Find the length of the chord in a unit circle Answer 1 Ava Martin Consider a unit circle with center at the origin (0,0). Let the endpoints of the chord be at coordinates (cos θ, sin θ) and (cos φ, sin φ). The formula for finding the distance between two points...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Calculating the Tangent Value of an Angle in the Unit Circle Answer 1 Maria Rodriguez Let’s consider an angle $ theta $ in the unit circle. The coordinates of a point on the unit circle are given by $(cos theta, sin theta)$. The tangent of the angle $ theta...
by zhanhongyuan | Feb 9, 2025 | Math
Home How to Find the Tangent of a Point on the Unit Circle Answer 1 Olivia Lee Given a point on the unit circle, say $(cos(theta), sin(theta))$, we need to find the tangent line at this point.Step 1: The equation of the unit circle is $x^2 + y^2 = 1$.Step 2: To find...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Determine the $ an$ values for specific angles on the unit circle. Answer 1 Matthew Carter To determine the tangent values for angles $frac{pi}{4}$, $frac{2pi}{3}$, and $frac{5pi}{6}$ on the unit circle, follow these steps:1. For the angle $frac{pi}{4}$: $tan...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Given that the angle $ heta$ in standard position intersects the unit circle at the point $(x, y)$ in the first quadrant where $x = frac{3}{5}$, find the $y$-coordinate of the point. Use the Pythagorean identity for the unit circle to show your work. Answer 1...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the angle whose cosine is $-frac{2}{3}$ using the unit circle. Answer 1 Henry Green To find the angle whose cosine is $-frac{2}{3}$, we need to look at the unit circle and identify the angles where the x-coordinate (cosine value) is $-frac{2}{3}$. Since...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the Cotangent of an Angle on the Unit Circle Answer 1 Daniel Carter To find the cotangent of an angle $theta$ on the unit circle, we use the identity:$ cot theta = frac{1}{tan theta} = frac{cos theta}{sin theta} $ Given $theta = frac{3pi}{4}$, we know from...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home $Find the angle where tan( heta) = -1 in the unit circle$ Answer 1 Maria Rodriguez To find the angle where $tan(theta) = -1$ in the unit circle, we need to look for the values of $theta$ where the tangent function is negative and equals -1.We know that...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Determine the exact values of trigonometric functions at specific angles using the unit circle Answer 1 Lucas Brown To find the exact values of trigonometric functions for $ theta = frac{5pi}{6} $, we first recognize that this angle corresponds to a reference...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the value of $cos( heta)$ given the angle on the unit circle. Answer 1 Amelia Mitchell Given that $theta = frac{5pi}{6}$, find the value of $cos(theta)$ on the unit circle. Step 1: Identify the reference angle. The reference angle for $theta = frac{5pi}{6}$...