by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the cosecant of the angle $frac{pi}{6}$ on the unit circle. Answer 1 Maria Rodriguez To find the cosecant of the angle $frac{pi}{6}$ on the unit circle, we first need to find the sine of $frac{pi}{6}$. On the unit circle, the sine of $frac{pi}{6}$ is...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $ ext{Conversion Problem on the Unit Circle}$ Answer 1 Chloe Evans $text{Given that } theta = frac{5pi}{4} text{ radians}, text{ convert this angle to degrees and then determine the coordinates of the corresponding point on the unit circle.}$$text{To convert...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the real part of the complex number $z$ on the unit circle given by $z = e^{i heta}$ and $ heta = frac{pi}{4}$. Answer 1 Lily Perez We are given the complex number $z$ on the unit circle: $z = e^{itheta}$ For $theta = frac{pi}{4}$, we have: $z =...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $Identifying Quadrants on the Unit Circle$ Answer 1 Daniel Carter $Identify the quadrant in which the angle theta = 5pi/4 text{radians} lies on the unit circle.$ $To determine the quadrant of theta = 5pi/4: $ $1. text{Convert the angle to degrees for better...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the $sin$, $cos$, and $ an$ of an angle using the unit circle. Answer 1 Lucas Brown To find the sine, cosine, and tangent of an angle $theta$ on the unit circle, use the following steps:1. Identify the coordinates $(x, y)$ on the unit circle corresponding to...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle where the angle in radians is $frac{7pi}{6}$. Answer 1 Daniel Carter To find the coordinates of the point on the unit circle at the angle $frac{7pi}{6}$, we use the cosine and sine functions. 1. The angle...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the cotangent value and corresponding angle on the unit circle Answer 1 Ella Lewis We need to find the angle $theta$ in the unit circle such that $cot(theta) = sqrt{3}$.Step 1: Recall that $cot(theta) = frac{1}{tan(theta)}$ and $tan(theta) =...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the value of $cot( heta)$ in the unit circle where $ heta = 45^{circ}$. Answer 1 Benjamin Clark Given $theta = 45^{circ}$ in the unit circle, we need to find $cot(theta)$.First, recall that $cot(theta) = frac{1}{tan(theta)}$.At $theta = 45^{circ}$,...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home $Find the value of an( heta) where heta is angle on the unit circle$ Answer 1 Amelia Mitchell Consider the angle $theta = frac{pi}{4}$ on the unit circle. We know that $tan(theta) = frac{sin(theta)}{cos(theta)}$. Since $sin(frac{pi}{4}) = frac{sqrt{2}}{2}$ and...
by zhanhongyuan | Feb 13, 2025 | Unit Circle
Home Find the value of $sec( heta)$ on the unit circle where $ heta = frac{2pi}{3}$ Answer 1 Olivia Lee Given $theta = frac{2pi}{3}$, we need to find $sec(theta)$ on the unit circle.First, we determine the coordinates of the point on the unit circle at $theta =...