by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Determine the coordinates of the points on the unit circle where the angle is $ frac{pi}{4} $ Answer 1 Sophia Williams To determine the coordinates of the points on the unit circle where the angle is $ frac{pi}{4} $, we need to use trigonometric functions.On the...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the reference angle for a given angle of $345^circ$ in the unit circle. Answer 1 Abigail Nelson To find the reference angle for $345^circ$, note that it is in the fourth quadrant. The reference angle in the fourth quadrant is found by subtracting the given...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the equation for a unit circle in the Cartesian plane Answer 1 Ella Lewis The equation for a unit circle centered at the origin in the Cartesian plane is: $ x^2 + y^2 = 1 $ This equation represents all points $(x, y)$ that are exactly one unit away from the...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the value of $ an(frac{pi}{4}) $ using the unit circle. Answer 1 Emily Hall To find the value of $ tan(frac{pi}{4}) $ using the unit circle:On the unit circle, the coordinates for $ frac{pi}{4} $ are $ (frac{sqrt{2}}{2}, frac{sqrt{2}}{2}) $.Therefore:$...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the tangent line equations for every point on the unit circle Answer 1 Emily Hall To find the tangent line equations for every point on the unit circle, we start with the unit circle equation: $ x^2 + y^2 = 1 $ Differentiate implicitly with respect to $x$ to...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the value of $ sec( heta) $ for $ heta = frac{pi}{4} $ on the unit circle Answer 1 Benjamin Clark To find the value of $ sec(theta) $ for $ theta = frac{pi}{4} $ on the unit circle, we use the definition of secant, which is the reciprocal of cosine:$...
by zhanhongyuan | Feb 6, 2025 | Math
Home Find the measure of $angle ABC$ if arc $oversetfrown{AC}$ is 120 degrees Answer 1 Lily Perez To find the measure of $angle ABC$ given that the arc $oversetfrown{AC}$ is 120 degrees, we use the Inscribed Angle Theorem. The Inscribed Angle Theorem states that the...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the point on the unit circle where the sine value is negative and the cosine value is positive Answer 1 Mia Harris The unit circle is defined as the set of all points $(x, y)$ such that:n$ x^2 + y^2 = 1 $nIn the unit circle, the sine value corresponds to the...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Determine the coordinates of points on the unit circle that satisfy the equation $ cos^2( heta) - sin^2( heta) = 0 $ Answer 1 Daniel Carter To determine the coordinates of points on the unit circle that satisfy the equation $ cos^2(theta) – sin^2(theta) = 0...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home > Page 5 What is the value of $cos(frac{pi}{4})$ on the unit circle? Answer 1 Ella Lewis $$ cosleft(frac{pi}{4}right) = frac{sqrt{2}}{2} $$ Solution Steps: Determine the angle and the unit circle: The angle $( frac{pi}{4} )$ corresponds to 45° on the unit...