by zhanhongyuan | Feb 17, 2025 | Unit Circle
Home Find the sine and cosine of angles using the unit circle Answer 1 Chloe Evans To find the sine and cosine of the angle $theta = frac{5pi}{6}$ using the unit circle: 1. Locate the angle $theta = frac{5pi}{6}$ on the unit circle. This angle is in the second...
by zhanhongyuan | Feb 17, 2025 | Unit Circle
Home Find the angle in radians corresponding to a point on the unit circle given coordinates $(x, y)$ Answer 1 Chloe Evans To find the angle θ corresponding to the point $(frac{1}{2}, frac{sqrt{3}}{2})$ on the unit circle, we start with the basic trigonometric...
by zhanhongyuan | Feb 17, 2025 | Unit Circle
Home $Find the cosine value of the angle 120 degrees on the unit circle.$ Answer 1 Joseph Robinson $120 degrees is in the second quadrant. The reference angle is 180 – 120 = 60 degrees.$$In the second quadrant, cos(theta) is negative.$$cos(60 degrees) =...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Given that ( heta ) is an angle in the unit circle such that its terminal side passes through the point ((a,b)). If the line passing through ((a,b)) and the origin makes an angle ( alpha ) with the x-axis, find the values of ( sin(alpha) ), Answer 1 Matthew...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $ ext{Find the sine and cosine of a 45-degree angle}$ Answer 1 Alex Thompson To find the sine and cosine of a 45-degree angle, we can use the unit circle. A 45-degree angle corresponds to $frac{pi}{4}$ radians.On the unit circle, the coordinates for $frac{pi}{4}$...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home What are the coordinates of the point on the unit circle where the angle is $frac{pi}{3}$? Answer 1 Henry Green To find the coordinates of the point on the unit circle at an angle of $frac{pi}{3}$ radians, we use the trigonometric functions cosine and sine.For an...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the value of $ tan(frac{pi}{4}) $ using the unit circle. Answer 1 Ava Martin To find the value of $ tan(frac{pi}{4}) $ using the unit circle, we need to consider the coordinates of the point on the unit circle at the angle $ frac{pi}{4} $. The coordinates of...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the trigonometric values for an angle in the unit circle Answer 1 Henry Green Given an angle ( theta = frac{5pi}{4} ), find the values of ( sin(theta) ), ( cos(theta) ), and ( tan(theta) ). First, determine the reference angle in the unit circle. ( theta =...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Determining the Position of $-pi/2$ on the Unit Circle Answer 1 Abigail Nelson To locate the position of $-pi/2$ on the unit circle, we need to understand the unit circle itself. The circle has a radius of 1 and is centered at the origin (0,0).1. Start from the...