by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the angle on the unit circle corresponding to $ arctanleft(frac{1}{sqrt{3}} ight) $ Answer 1 Henry Green Given $ arctanleft(frac{1}{sqrt{3}}right) $, we need to determine the angle $ theta $ on the unit circle.We know that $ arctan(x) $ gives the angle whose...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the cosine of $ frac{pi}{3} $ using the unit circle Answer 1 Michael Moore Using the unit circle, the angle $ frac{pi}{3} $ corresponds to 60 degrees. On the unit circle, the coordinates of this angle are:$ left( frac{1}{2}, frac{sqrt{3}}{2} right) $The...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home How to memorize the points on the unit circle Answer 1 Ava Martin To memorize the points on the unit circle, remember that the unit circle has a radius of 1 and is centered at the origin (0,0). The key angles in radians are txt1 txt1 txt1$, $frac{pi}{6}$,...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the coordinates of point on the unit circle Answer 1 Mia Harris Given a point $(x, y)$ on the unit circle, we know that the equation of the circle is:$ x^2 + y^2 = 1 $If $ x = frac{1}{2} $, then we can find $ y $ by solving:$ (frac{1}{2})^2 + y^2 = 1 $$...
by zhanhongyuan | Feb 4, 2025 | Math
Home Find the arc length of a sector given angle $ heta$ and radius $r$ Answer 1 Benjamin Clark To find the arc length of a sector given angle $theta$ and radius $r$, use the formula: $ L = r cdot theta $ In this formula, $L$ is the arc length of the sector, $r$ is...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the value of $cos(frac{pi}{3})$ using the unit circle on a graphing calculator Answer 1 Maria Rodriguez On the unit circle, the angle $frac{pi}{3}$ corresponds to 60 degrees. The coordinates of this point are $(frac{1}{2}, frac{sqrt{3}}{2})$. The...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the exact values of $ sin $ and $ cos $ for an angle of 225 degrees using the unit circle. Answer 1 Samuel Scott To find the exact values of $ sin $ and $ cos $ for an angle of 225 degrees using the unit circle, we first convert the angle to radians:$...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the sine and cosine of $ frac{pi}{4} $ using the unit circle. Answer 1 Matthew Carter To find the sine and cosine of $ frac{pi}{4} $ using the unit circle:On the unit circle, the angle $ frac{pi}{4} $ corresponds to the coordinates $ left( frac{sqrt{2}}{2},...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Determine the coordinates of a point on the unit circle at an angle of ( frac{pi}{4} ) Answer 1 Michael Moore To find the coordinates of a point on the unit circle at an angle of ( frac{pi}{4} ), we use the unit circle definition:n The unit circle is defined as...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the tangent of angle $ heta $ on a unit circle Answer 1 Lily Perez To find the tangent of the angle $ theta $ on a unit circle, one must understand that the tangent of an angle is defined as the ratio of the sine to the cosine of that angle: $ tan(theta) =...