by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine the values of $ heta $ where $ sin( heta) $ and $ cos( heta) $ are equal in the flipped unit circle Answer 1 Emma Johnson To determine the values of $ theta $ where $ sin(theta) $ and $ cos(theta) $ are equal in the flipped unit circle, we start by...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine which quadrant the angle $ frac{pi}{3} $ is in the unit circle Answer 1 Mia Harris To determine the quadrant of the angle $ frac{pi}{3} $, we note that this angle is equivalent to 60 degrees.In the unit circle, angles between 0 and 90 degrees are in the...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine the coordinates of points on the unit circle at specific angles Answer 1 Lily Perez The unit circle is the circle of radius 1 centered at the origin (0, 0) in the coordinate plane. The coordinates of any point on the unit circle can be determined using...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the sine and cosine of $ frac{pi}{4} $ Answer 1 Amelia Mitchell The unit circle helps us to memorize common angle values. For $ frac{pi}{4} $, the coordinates are the same for both sine and cosine.$ sinleft( frac{pi}{4} right) = frac{sqrt{2}}{2} $$ cosleft(...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle where the angle is $ heta = frac{pi}{4} $. Answer 1 Olivia Lee The unit circle has a radius of 1. The coordinates of a point on the unit circle can be found using the formulas:$ x = cos(theta) $$ y = sin(theta)...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home What are the values of $sin$, $cos$, and $ an$ for the angle $frac{pi}{4}$ on the unit circle? Answer 1 Samuel Scott To find the values of $ sin $, $ cos $, and $ tan $ for the angle $ frac{pi}{4} $ on the unit circle, we use the unit circle properties:$ sin...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the value of $ an( heta) $ at multiple angles using the unit circle Answer 1 Samuel Scott Let Answer 2 Ella Lewis Using the unit circle, we can find the value of the tangent function for the angles $ heta = frac{pi}{4} $, $ heta = frac{3pi}{4} $, and $ heta...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the values of $ sin(A) $, $ cos(B) $, and $ an(C) $ on the unit circle given specific conditions Answer 1 John Anderson Consider the unit circle centered at the origin $(0,0)$ in the coordinate plane. Given that $A$, $B$, and $C$ are angles in the unit...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the equation of the unit circle. Answer 1 Sophia Williams The unit circle is defined as the set of all points in the coordinate plane that are exactly one unit away from the origin. The equation of the unit circle can be derived using the Pythagorean...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Identify the coordinates of the point on the unit circle at angle $ frac{7pi}{6} $ Answer 1 Abigail Nelson To find the coordinates of the point on the unit circle at angle $ frac{7pi}{6} $, use the unit circle values:$ frac{7pi}{6} $ is in the third quadrant,...