Determine the coordinates of the point on the unit circle corresponding to a given angle

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Determine the coordinates of the point on the unit circle corresponding to a given angle $ heta$ Answer 1 Maria Rodriguez To determine the coordinates of the point on the unit circle corresponding to the angle $theta$, we use the following formulas for the unit...

Identify the coordinates of the point on the unit circle at an angle of π/4

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Identify the coordinates of the point on the unit circle at an angle of $ frac{pi}{4} $ Answer 1 Lily Perez On the unit circle, the coordinates of the point at an angle of $ frac{pi}{4} $ are:$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} right) $ Answer 2 Matthew...

Explain the coordinates of a point on the unit circle at an angle of π/4

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Explain the coordinates of a point on the unit circle at an angle of $ frac{pi}{4} $ Answer 1 Thomas Walker The unit circle is a circle with a radius of 1, centered at the origin (0, 0) in the coordinate plane. The coordinates of a point on the unit circle...

Determine the exact values of tan(θ) for θ = 5π/6, θ = 3π/4, and θ = 7π/4 from the unit circle

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Determine the exact values of $ an( heta) $ for $ heta = frac{5pi}{6} $, $ heta = frac{3pi}{4} $, and $ heta = frac{7pi}{4} $ from the unit circle. Answer 1 Olivia Lee To determine the exact values of $ tan(theta) $ for the given angles using the unit circle, we...

Determine the quadrant in which an angle lies given its sine and cosine values on the unit circle

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Determine the quadrant in which an angle lies given its $sin$ and $cos$ values on the unit circle Answer 1 Isabella Walker Given that the sine and cosine values of an angle are both positive, the angle lies in the first quadrant. Answer 2 Joseph Robinson Given...

Determine the coordinates of a point on the unit circle where the angle θ equals π/4

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Determine the coordinates of a point on the unit circle where the angle $ heta $ equals $ frac{pi}{4} $ Answer 1 Maria Rodriguez To determine the coordinates of a point on the unit circle where $ theta $ equals $ frac{pi}{4} $, we use the unit circle equation:$...

Find the value of sec(θ) at θ = π/3 on the unit circle

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Find the value of $ sec(θ) $ at $ θ = frac{pi}{3} $ on the unit circle Answer 1 Isabella Walker To find the value of $ sec(θ) $ at $ θ = frac{pi}{3} $ on the unit circle, we first find the cosine of the angle:$ cosleft(frac{pi}{3}right) = frac{1}{2} $Then, since...

Identify the coordinates of points on the unit circle for given angles

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Identify the coordinates of points on the unit circle for given angles $ heta $ Answer 1 Isabella Walker For the angle $ theta = frac{pi}{6} $, the point on the unit circle is given by $ (cos(frac{pi}{6}), sin(frac{pi}{6})) $. Calculate these values: $...

Find the equation of a tangent to the unit circle at a given point

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Find the equation of a tangent to the unit circle at a given point $(a, b)$ Answer 1 Henry Green To find the equation of a tangent to the unit circle at the point $(a, b)$, we start by noting that the unit circle is defined by: $x^2 + y^2 = 1$ The slope of the...

Find the values of tan(θ) for θ in the unit circle at 0, π/4, π/3, and π/2

by zhanhongyuan | Feb 2, 2025 | Unit Circle

Home Find the values of $ an( heta) $ for $ heta $ in the unit circle at $ 0 $, $ frac{pi}{4} $, $ frac{pi}{3} $, and $ frac{pi}{2} $ Answer 1 Olivia Lee To determine the values of $ tan(theta) $ for $ theta $ in the unit circle at $ 0 $, $ frac{pi}{4} $, $...