by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Calculate $ an(frac{4pi}{3})$ using the Unit Circle Answer 1 Isabella Walker First, we need to find the reference angle for $frac{4pi}{3}$. The angle $frac{4pi}{3}$ is in the third quadrant.The reference angle is $pi – (frac{4pi}{3} – pi) =...
by zhanhongyuan | Feb 12, 2025 | Math
Home > Page 4 Tips to Memorize the Unit Circle Answer 1 Daniel Carter The unit circle can seem daunting, but it’s really based on a few key concepts. The first is understanding the special right triangles: the 30-60-90 triangle and the 45-45-90 triangle....
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the cosine of $-pi/3$ using the unit circle Answer 1 Sophia Williams To find the cosine of $-pi/3$ using the unit circle, follow these steps: 1. Recognize that the angle $-pi/3$ is a negative angle, which means it is measured clockwise from the positive...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the angle whose cosine is $-frac{2}{3}$ on the unit circle Answer 1 Emily Hall Given that $cos(theta) = -frac{2}{3}$, we need to find the angle $theta$ on the unit circle.Since cosine represents the x-coordinate on the unit circle, we look for the angle in...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the $cos$ value for a given angle on the unit circle Answer 1 Thomas Walker Consider an angle $theta = frac{pi}{3}$ on the unit circle.We know from trigonometry that the point corresponding to $theta = frac{pi}{3}$ has coordinates $(cos(frac{pi}{3}),...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the coordinates and angle measure for the point on the unit circle where the $sec$ function is undefined. Answer 1 Christopher Garcia Let’s start by identifying where the secant function is undefined. Recall that $sec(theta) = frac{1}{cos(theta)}$.The...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home $ ext{Strategies to Easily Learn the Unit Circle}$ Answer 1 Maria Rodriguez To understand the unit circle, consider the following:1. Identify the key points on the unit circle where the angle is 0, $frac{pi}{6}$, $frac{pi}{4}$, $frac{pi}{3}$, and $frac{pi}{2}$....
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the values of $sin$, $cos$, and $ an$ for an angle of 120 degrees using the unit circle. Answer 1 Henry Green To find the values of $sin$, $cos$, and $tan$ for an angle of 120 degrees, first convert the angle to radians: $120^circ = frac{120 pi}{180} =...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Finding Specific $ an$ Values on the Unit Circle Answer 1 Isabella Walker To find the exact $tan$ values at specific angles on the unit circle, consider the following:1. $theta = frac{pi}{4}$ At this angle, $tan(theta) = tanleft(frac{pi}{4}right) = 1$2. $theta =...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home $ ext{Find the Real Part of a Complex Number on the Unit Circle}$ Answer 1 Ava Martin Consider a complex number $z$ on the unit circle in the complex plane. The unit circle can be represented as $|z| = 1$. If $z = e^{itheta}$, find the real part of...