by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home What is the value of $ sin(frac{pi}{6}) $, $ cos(frac{pi}{6}) $, and $ an(frac{pi}{6}) $? Answer 1 Sophia Williams $ sin(frac{pi}{6}) = frac{1}{2} $ $ cos(frac{pi}{6}) = frac{sqrt{3}}{2} $ $ tan(frac{pi}{6}) = frac{sin(frac{pi}{6})}{cos(frac{pi}{6})} =...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the value of $cos(x)$ and $sin(x)$ based on the unit circle Answer 1 Ava Martin Given $x = frac{5pi}{4}$, we need to find $cos(x)$ and $sin(x)$ using the unit circle. Step 1: Locate the angle $frac{5pi}{4}$ on the unit circle. This angle is in the third...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home ”Find Answer 1 Henry Green Consider the unit circle, where $ tan(theta) = frac{sin(theta)}{cos(theta)} $. For $ tan(theta) = -1 $, this implies that $ sin(theta) = -cos(theta) $. Hence, $ theta $ must be in the second or fourth quadrant, where sine and...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $ ext{In which quadrant of the unit circle is the angle } 135^circ ext{ located?}$ Answer 1 Emily Hall To determine the quadrant of the angle 135 degrees, we need to understand how the unit circle is divided:- Quadrant I: txt1 txt1 txt1^circ$ to $90^circ$-...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the coordinates of a point on the unit circle with an angle of $ frac{pi}{4} $ radians Answer 1 Joseph Robinson First, we need to recall that the unit circle is a circle with a radius of 1 centered at the origin. For an angle of $ frac{pi}{4} $ radians, we...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the sine and cosine values of $frac{pi}{4}$ using the unit circle. Answer 1 Joseph Robinson To find the sine and cosine values of $frac{pi}{4}$ using the unit circle, follow these steps:1. Identify the angle $frac{pi}{4}$ on the unit circle. This angle...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $ ext{Find the Value of Cosine on the Unit Circle}$ Answer 1 William King $text{Given the unit circle, we need to find the value of } cos(theta) text{ where } theta text{ is an angle such that } 2cos^2(theta) + cos(theta) – 1 = 0.$ $text{Step 1: Solve the...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the cosine and sine of the angle $ frac{5pi}{6} $ using the unit circle. Answer 1 Joseph Robinson To find the cosine and sine of the angle $ frac{5pi}{6} $, we can use the unit circle. The angle $ frac{5pi}{6} $ is in the second quadrant, where the cosine is...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the sine, cosine, and tangent values for the angle $frac{pi}{4}$ on the unit circle Answer 1 Daniel Carter First, we need to recognize that the angle $frac{pi}{4}$ is equivalent to 45 degrees.On the unit circle, the coordinates at $frac{pi}{4}$ are...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the value of $cos( heta)$ using the unit circle in the complex plane when $ heta = frac{pi}{3}$. Answer 1 Joseph Robinson First, understand that on the unit circle, a point corresponding to an angle $theta$ can be represented as $e^{itheta} = cos(theta) +...