by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Determine the sine, cosine, and tangent of the angle $ heta = 30^circ$ on the unit circle. Answer 1 Joseph Robinson To determine the sine, cosine, and tangent of $theta = 30^circ$ on the unit circle, we first need to recall the unit circle values for this angle....
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home If the $sec( heta) = 2$ in the unit circle, find the angle $ heta$. Answer 1 Abigail Nelson Given $sec(theta) = 2$, we know $sec(theta) = frac{1}{cos(theta)}$. So, $frac{1}{cos(theta)} = 2$ implies $cos(theta) = frac{1}{2}$. The cosine of $theta$ is positive, so...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home $ ext{Determine the exact values of trigonometric functions at specific angles on the unit circle.}$ Answer 1 Mia Harris To find the exact values of the trigonometric functions for the angle $frac{7pi}{6}$:1. Find the reference angle by subtracting $pi$:...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Determine the values of $sin$ and $cos$ at a given angle on the unit circle Answer 1 James Taylor Given an angle of $theta = frac{5pi}{6}$, determine the values of $sin(theta)$ and $cos(theta)$ using the unit circle.First, recognize that $theta = frac{5pi}{6}$ is...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Find the value of $ sin( heta) $, $ cos( heta) $, and $ an( heta) $ for $ heta = frac{5pi}{6} $. Answer 1 Alex Thompson First, locate $ theta = frac{5pi}{6} $ on the unit circle. This angle is in the second quadrant.In the second quadrant, the sine function is...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Determine the angles that satisfy the $ an$ function Answer 1 Michael Moore To determine the angles $theta$ where $tan(theta) = sqrt{3}$, we first recognize that $tan(theta) = frac{sin(theta)}{cos(theta)}$. From the unit circle, we know:$...
by hanjianwei | Feb 10, 2025 | Ai Tools
Hey there, art enthusiasts! You know that feeling when you’re trying to whip up some AI-generated artwork, and you’re wondering if there’s something out there better than Imagen AI? I totally get it. After experimenting with various tools, I’ve...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home $ ext{Find the Quadrant of a Point on the Unit Circle}$ Answer 1 Charlotte Davis To determine the quadrant of a point $(x, y)$ on the unit circle, we need to consider the signs of $x$ and $y$. The unit circle is centered at the origin (0,0) and has a radius of...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Fill in the missing value on the unit circle: What is the value of $sin(θ)$ when $cos(θ) = -frac{1}{2}$? Answer 1 Alex Thompson Given the unit circle equation: $cos^2(θ) + sin^2(θ) = 1$ Substitute $cos(θ) = -frac{1}{2}$: $left(-frac{1}{2}right)^2 + sin^2(θ) = 1$...
by zhanhongyuan | Feb 10, 2025 | Unit Circle
Home Find the values of $sin$, $cos$, and $ an$ for $45^circ$ on the unit circle. Answer 1 James Taylor Given $theta = 45^circ$, we need to find the values of $sin(45^circ)$, $cos(45^circ)$, and $tan(45^circ)$.From the unit circle, we know that $sin(45^circ) =...
