by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the value of $ an( heta)$ on the unit circle when $ heta = frac{pi}{4}$. Answer 1 Ava Martin First, we need to determine the coordinates of the point on the unit circle corresponding to $theta = frac{pi}{4}$.On the unit circle, the coordinates for the angle...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Calculate $cos(-pi/3)$ on the unit circle Answer 1 Chloe Evans To find $cos(-pi/3)$, we first need to understand its position on the unit circle. The angle $-pi/3$ is equivalent to rotating $pi/3$ radians in the clockwise direction. On the unit circle, $pi/3$...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $ ext{Calculate the value of } anleft(frac{4pi}{3} ight) ext{ using the unit circle.}$ Answer 1 Isabella Walker To calculate $tanleft(frac{4pi}{3}right)$, we start by locating the angle $frac{4pi}{3}$ on the unit circle. The angle $frac{4pi}{3}$ radians is...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $ ext{Determine the Quadrant of a Trigonometric Function}$ Answer 1 Abigail Nelson Consider the angle $theta = 210^circ$. To determine the quadrant where this angle lies, we will use the unit circle. The angle $210^circ$ is measured from the positive x-axis in...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle corresponding to $210^{circ}$. Answer 1 Isabella Walker The unit circle is a circle with radius 1 centered at the origin (0,0) in the coordinate plane. Points on the unit circle can be represented as (cos θ,...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $ ext{Calculate } cos(-pi / 3) ext{ using the unit circle}$ Answer 1 Henry Green Using the unit circle, we know that the angle $-pi / 3$ corresponds to moving $pi / 3$ radians clockwise from the positive x-axis. Since $cos$ is the x-coordinate of the point on the...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home On the unit circle, find the values of angles in radians for which the $sec$ function is undefined. Answer 1 Samuel Scott The secant function $sec(theta)$ is undefined when the cosine function $cos(theta)$ is zero. On the unit circle, $cos(theta)$ is zero at the...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the value of $ cot( heta) $ when $ heta = frac{pi}{4} $ on the unit circle. Answer 1 John Anderson Given:( theta = frac{pi}{4} )On the unit circle, the coordinates for ( theta = frac{pi}{4} ) are:( (cos(frac{pi}{4}), sin(frac{pi}{4})) = (frac{sqrt{2}}{2},...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $ ext{Find the tangent of } 45^circ ext{ using the unit circle.}$ Answer 1 Lily Perez To find the tangent of 45 degrees using the unit circle, we first locate the point corresponding to 45 degrees on the circle. The coordinates of this point are...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the coordinates of points on the unit circle corresponding to an angle $ heta$ in a flipped configuration. Answer 1 James Taylor Given a unit circle, we need to find the coordinates of points corresponding to the angle $theta = frac{5pi}{4}$, but with the...