by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the exact values of $sin(frac{5pi}{6})$ and $cos(frac{5pi}{6})$ in the unit circle Answer 1 Samuel Scott To determine the exact values of $sin(frac{5pi}{6})$ and $cos(frac{5pi}{6})$, we use the unit circle.For the angle $frac{5pi}{6}$, it is in the...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Given a point on the unit circle, find the corresponding angle $ heta $ and verify the coordinates Answer 1 Matthew Carter Let Answer 2 Alex Thompson Consider the point $(frac{1}{2}, frac{sqrt{3}}{2})$ on the unit circle. This corresponds to the angle $ heta $...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the value of $ an( heta) $ at $ heta = frac{3pi}{4} $ using the unit circle chart. Answer 1 James Taylor To determine the value of $ tan(theta) $ at $ theta = frac{3pi}{4} $, we use the unit circle chart. The angle $ frac{3pi}{4} $ is in the second...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the coordinates of a point on the unit circle at angle $ frac{pi}{3} $ Answer 1 Amelia Mitchell The unit circle has a radius of 1. The coordinates of a point on the circle at angle $ frac{pi}{3} $ are given by:$ (cos(frac{pi}{3}), sin(frac{pi}{3}))...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the values of $ sin( heta) $, $ cos( heta) $, and $ an( heta) $ for $ heta $ in the second quadrant of the unit circle Answer 1 Emily Hall In the second quadrant, the angle $ theta $ ranges from $ frac{pi}{2} $ to $ pi $. Here, $ sin(theta) $ is...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ sinleft(frac{pi}{3} ight) $ on the unit circle Answer 1 Benjamin Clark To find the value of $ sinleft(frac{pi}{3}right) $ on the unit circle, we look at the reference angle for $ frac{pi}{3} $.The reference angle is $ 60^{circ} $, and the sine...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the area of a sector of a unit circle with a central angle of $ heta $ radians Answer 1 Chloe Evans To find the area of a sector of a unit circle with a central angle of $ theta $, we use the formula for the area of a sector:n$ A = frac{1}{2} r^2 theta...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ sin(frac{pi}{6}) $, $ cos(frac{pi}{3}) $, and $ an(frac{pi}{4}) $ using the unit circle chart Answer 1 Michael Moore Using the unit circle chart, we find:$ sinleft(frac{pi}{6}right) = frac{1}{2} $$ cosleft(frac{pi}{3}right) = frac{1}{2} $$...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ cos(frac{pi}{4}) $ and $ sin(frac{pi}{4}) $ using the unit circle Answer 1 Amelia Mitchell To find the values of $ cos(frac{pi}{4}) $ and $ sin(frac{pi}{4}) $ using the unit circle, we need to identify the coordinate point on the unit circle...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the equation of the tangent line to the unit circle at $(1, 0)$ Answer 1 Maria Rodriguez The unit circle is given by the equation:$ x^2 + y^2 = 1 $To find the equation of the tangent line at $(1, 0)$, we first find the slope of the tangent. Differentiate the...