by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home $ ext{Find the coordinates of point } P ext{ on the unit circle at an angle of } 45^circ $ Answer 1 William King To find the coordinates of point P on the unit circle at an angle of 45 degrees, we use the fact that the unit circle has a radius of 1 and that the...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the exact coordinates of a point on the unit circle given that the point is $frac{7pi}{6}$ radians from the positive x-axis. Answer 1 Alex Thompson To determine the coordinates of the point on the unit circle at an angle of $frac{7pi}{6}$ radians, we use the...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the sine and cosine values for the angle $30^{circ}$ on the unit circle Answer 1 Joseph Robinson To find the sine and cosine values for the angle $30^{circ}$ on the unit circle, we use the known values of sine and cosine for common angles. The coordinates of...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the sine, cosine, and tangent values at $45^{circ}$ using the unit circle. Answer 1 Matthew Carter To find the sine, cosine, and tangent values at $45^{circ}$ (or $frac{pi}{4}$ radians) using the unit circle, we look at the coordinates of the corresponding...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Given a point on the unit circle with coordinates $(x, y)$, if the point corresponds to an angle $ heta$ in standard position, find the angle $ heta$ if $x = -frac{1}{2}$. State your answer in radians. Answer 1 Mia Harris Given the point on the unit circle with...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home $What is the cosine and sine value of frac{pi}{3} on the flipped unit circle?$ Answer 1 Ava Martin To find the cosine and sine values of $frac{pi}{3}$ on the flipped unit circle, we start by recalling the standard unit circle values.On the standard unit circle,...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the values of $cos( heta)$ on the unit circle Answer 1 Thomas Walker Consider the unit circle where the radius is 1. Identify the angles $theta$ where $cos(theta) = frac{1}{2}$. Step 1: Recall the unit circle and the corresponding cosine values for common...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home $ ext{Find the cosecant of an angle at 30 degrees on the unit circle.}$ Answer 1 Michael Moore The unit circle value for sine at 30 degrees is $frac{1}{2}$. The cosecant is the reciprocal of sine.$ csc(30^{circ}) = frac{1}{sin(30^{circ})} = frac{1}{frac{1}{2}} =...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the sine, cosine, and tangent of an angle on the unit circle at $45^circ$. Answer 1 Benjamin Clark To find the sine, cosine, and tangent of a $45^circ$ angle, we start by remembering that on the unit circle:$sin(45^circ) = frac{sqrt{2}}{2}$$cos(45^circ) =...
by zhanhongyuan | Feb 11, 2025 | Unit Circle
Home Find the Angle and Length of the Arc in Different Quadrants of the Unit Circle Answer 1 Alex Thompson Given a unit circle centered at the origin, consider a point that makes an angle of ( theta = frac{7pi}{6} ) radians with the positive x-axis. Find the quadrant...