by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Find all angles $ heta$ between Define the unit circle in trigonometry$ and $2pi$ such that $cos( heta) = -frac{1}{2}$ Answer 1 Mia Harris To find the angles $theta$ such that $cos(theta) = -frac{1}{2}$, we start by identifying the quadrants where $cos(theta)$ is...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Find the coordinates of a point on the unit circle at an angle of $45^{circ}$ from the positive x-axis. Answer 1 Christopher Garcia To find the coordinates of a point on the unit circle, we use the trigonometric functions sine and cosine.The angle given is...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Find the value of $x$ such that $cos(x) = -frac{1}{2}$ and $sin(x)$ is negative on the unit circle. Answer 1 Abigail Nelson To solve for $x$ such that $cos(x) = -frac{1}{2}$ and $sin(x)$ is negative on the unit circle, follow these steps: 1. Identify the angles...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Find the exact values of sine and cosine for the angle $frac{5pi}{4}$ using the unit circle. Answer 1 Ava Martin To find the exact values of sine and cosine for the angle $frac{5pi}{4}$, we start by determining in which quadrant the angle lies. The angle...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Given the point $P$ on the unit circle at an angle of $210^{circ}$, find $cos(210^{circ})$ and $sin(210^{circ})$. Answer 1 Chloe Evans To find $cos(210^{circ})$ and $sin(210^{circ})$, we start by converting the angle to radians:$210^{circ} = 210 cdot...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home $ ext{Find the coordinates of the points where the unit circle intersects the x-axis.}$ Answer 1 Christopher Garcia $text{The unit circle has the equation } x^2 + y^2 = 1.$$text{To find the intersection with the x-axis, we set } y = 0.$$x^2 + 0^2 = 1$$x^2 = 1$$x...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home Given a point $P$ on the unit circle at an angle $ heta$, find the coordinates of $P$, the length of the line segment from $P$ to the origin, and the area of the sector formed by the angle $ heta$ in the unit circle. Answer 1 Thomas Walker Given a point $P$ on...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
Home $Find the angle that corresponds to a given point on the unit circle.$ Answer 1 Ella Lewis Let’s consider the point (frac{sqrt{3}}{2}, , frac{1}{2}) on the unit circle. This point lies in the first quadrant and has coordinates (cos(theta), sin(theta)). We...
by zhanhongyuan | Feb 8, 2025 | Unit Circle
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by hanjianwei | Feb 8, 2025 | Ai Tools
PopAi: The Best AI Generators for Couple Images Alright, let’s dive right in! Have you ever tried to capture that perfect couple moment, only to end up with photos that just don’t do you justice? Well, that’s exactly what happened to me. One...