by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home $ ext{Find the sine, cosine, and tangent values of the given angles on the unit circle}$ Answer 1 Matthew Carter $ text{Consider the angle } theta = frac{7pi}{6} $ $ text{Step 1: Find the sine value } sinleft(frac{7pi}{6}right) = -frac{1}{2} $ $ text{Step 2: Find...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the value of $ an( heta)$ given specific conditions on the unit circle. Answer 1 Lucas Brown Given that $theta$ is a point on the unit circle where the coordinates are $( cos(theta), sin(theta) )$ and $theta$ lies in the second quadrant, find $tan(theta)$....
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the angles on the unit circle where $cos( heta) = -frac{1}{2}$. Answer 1 Thomas Walker To find the angles where $cos(theta) = -frac{1}{2}$ on the unit circle, we need to consider the unit circle properties and the cosine function. 1. The cosine of an angle...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home What is the cosine of $30^{circ}$ on the unit circle? Answer 1 Amelia Mitchell To find the cosine of $30^{circ}$ on the unit circle, we need to recall the coordinates of the point on the unit circle corresponding to $30^{circ}$. The coordinates are...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the exact values of $sin(frac{3pi}{4})$, $cos(frac{3pi}{4})$, and $ an(frac{3pi}{4})$ using the unit circle. Answer 1 Daniel Carter We are asked to find the exact values of $sin(frac{3pi}{4})$, $cos(frac{3pi}{4})$, and $tan(frac{3pi}{4})$ using the unit...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the angle on the unit circle in the complex plane where the cosine value is $frac{1}{2}$ Answer 1 Henry Green We start by knowing that the cosine function gives the real part of the point on the unit circle corresponding to a given angle.We are given...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the sine and cosine values for the angle $ heta = 30° $ on the unit circle. Answer 1 Alex Thompson To find the sine and cosine values for $ theta = 30° $ on the unit circle, we need to locate the point on the unit circle corresponding to $ theta = 30° $.1....
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home $ ext{Find the value of } an( heta) ext{ for } heta ext{ on the unit circle}$ Answer 1 William King To find the value of $tan(theta)$ for $theta$ on the unit circle, consider the point $P(x, y)$ on the circle corresponding to the angle $theta$. The tangent of...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Determine the Quadrant of a Given Point on a Unit Circle Answer 1 Charlotte Davis Given the point ((x, y)) on a unit circle, determine the quadrant in which the point lies. The unit circle has a radius of 1. The quadrants are defined as follows: – Quadrant...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the value of $ an( heta)$ at three specific angles on the unit circle: $ heta = frac{pi}{4}$, $frac{3pi}{4}$, and $frac{5pi}{6}$. Answer 1 Ava Martin For $theta = frac{pi}{4}$:On the unit circle, at $theta = frac{pi}{4}$, the coordinates are...