Find the coordinates of the point on the unit circle for angle π/3

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the coordinates of the point on the unit circle for angle $ frac{pi}{3} $ Answer 1 Emma Johnson For the angle $ frac{pi}{3} $ on the unit circle, the coordinates are found using the sine and cosine functions.The x-coordinate is:$ cosleft( frac{pi}{3} right)...

Determine the value of cos(7π/6) using the unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Determine the value of $ cosleft(frac{7pi}{6} ight) $ using the unit circle Answer 1 Lily Perez To determine the value of $ cosleft(frac{7pi}{6}right) $ using the unit circle, we need to locate the angle $ frac{7pi}{6} $ in radians. This angle is in the third...

Determine the sine and cosine values for an angle of 5π/6 radians on the unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Determine the sine and cosine values for an angle of $ frac{5pi}{6} $ radians on the unit circle Answer 1 Emily Hall To find the sine and cosine of $ frac{5pi}{6} $ on the unit circle, we use the reference angle and the fact that it lies in Quadrant II:The...

Express the coordinates of key points on the unit circle in terms of trigonometric functions

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Express the coordinates of key points on the unit circle in terms of trigonometric functions Answer 1 Lucas Brown To express the coordinates of key points on the unit circle in terms of trigonometric functions, remember that each point on the unit circle...

Find the value of arcsin(x) for x = sqrt(3)/2 on the unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the value of $ arcsin(x) $ for $ x = sqrt{3}/2 $ on the unit circle Answer 1 Joseph Robinson To find the value of $ arcsin(x) $ for $ x = sqrt{3}/2 $ on the unit circle, we need to determine the angle $ theta $ such that $ sin(theta) = sqrt{3}/2 $ and $...

Find the sine and cosine values at different angles on the unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the sine and cosine values at different angles on the unit circle Answer 1 Daniel Carter Given the unit circle, find the sine and cosine values for the following angles: 1. txt1 txt1 txt1$ radians 2. $frac{pi}{4}$ radians 3. $frac{pi}{2}$ radians 1. At txt1...

Find the angle in radians for the point (-1/2, -√3/2) on the unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the angle in radians for the point $(-frac{1}{2}, -frac{sqrt{3}}{2})$ on the unit circle Answer 1 Chloe Evans To find the angle in radians for the point $(-frac{1}{2}, -frac{sqrt{3}}{2})$ on the unit circle, we first identify the coordinates. These...

Determine the coordinates of a point on the unit circle with a given angle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Determine the coordinates of a point on the unit circle with a given angle, $ heta $ Answer 1 Christopher Garcia To determine the coordinates of a point on the unit circle given the angle $ theta $, use the unit circle formulas:$ x = cos(theta) $$ y = sin(theta)...

Find the length of the arc subtended by a central angle of θ radians in a unit circle

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the length of the arc subtended by a central angle of $ heta $ radians in a unit circle Answer 1 Maria Rodriguez To find the length of the arc subtended by a central angle $ theta $ radians in a unit circle, we use the formula:$ s = r theta $Here, the radius...

Find the exact value of tan(θ) given that sin(θ) = 3/5 and θ is in the second quadrant

by zhanhongyuan | Feb 4, 2025 | Unit Circle

Home Find the exact value of $ an( heta) $ given that $ sin( heta) = frac{3}{5} $ and $ heta $ is in the second quadrant. Answer 1 Olivia Lee Given that $ sin(theta) = frac{3}{5} $ and $ theta $ is in the second quadrant: Since $ sin(theta) $ is positive in the second...