by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home What is the value of $sin(30°) + cos(60°) + an(45°)$ on the unit circle? Answer 1 Henry Green To solve for $sin(30°) + cos(60°) + tan(45°)$, we need to find the individual values: $ sin(30°) = frac{1}{2} $ $ cos(60°) = frac{1}{2} $ $ tan(45°) = 1 $ Adding these...
by zhanhongyuan | Feb 16, 2025 | Math
Home $Find the length of the common chord of two intersecting circles.$ Answer 1 Charlotte Davis Let the two circles be (C_1) with radius (r_1) and center (O_1), and (C_2) with radius (r_2) and center (O_2). The distance between the centers is (d). The common chord...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the coordinates of the point where the angle $frac{5pi}{4}$ radians intersects the unit circle. Answer 1 Amelia Mitchell First, we need to convert the angle $frac{5pi}{4}$ radians into degrees. We know that: $ 1 text{ radian} = frac{180}{pi} text{ degrees} $...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Locate $-pi/2$ on a Unit Circle Answer 1 John Anderson To locate $-pi/2$ on the unit circle, we can follow these steps: 1. Start at the positive x-axis (0 radians). 2. Move clockwise because the angle is negative. 3. Since $-pi/2$ radians equals -90 degrees, move...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $ ext{Find the Trigonometric Values Using the Unit Circle}$ Answer 1 James Taylor Given the angle $theta = frac{2pi}{3}$, find the values of $sin(theta)$, $cos(theta)$, and $tan(theta)$ using the unit circle on a GDC TI calculator.1. Locate the angle $theta =...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the exact values of the trigonometric functions at an angle of $frac{7pi}{6}$ on the unit circle. Answer 1 Christopher Garcia To solve this problem, let’s first locate the angle $frac{7pi}{6}$ on the unit circle. This angle is in the third quadrant...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $ ext{Suppose you have a unit circle centered at the origin in the coordinate plane. You flip the unit circle over the y-axis. Determine the coordinates of a point } (x, y) ext{ on the original unit circle after the transformation, given that } x^2 + Answer 1...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the exact values of sine and cosine for an angle of $frac{5pi}{4}$ radians on the unit circle. Answer 1 Christopher Garcia To solve for sine and cosine of the angle $frac{5pi}{4}$, we first determine its location on the unit circle.The angle $frac{5pi}{4}$...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $ ext{Find the value of } sin(30^circ) ext{ on the unit circle.}$ Answer 1 Charlotte Davis To find the value of $sin(30^circ)$ on the unit circle, we first need to recognize that $30^circ$ is a special angle. On the unit circle, the angle $30^circ$ corresponds to...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $Identify the cosine and sine values of 45° using the unit circle$ Answer 1 Alex Thompson To find the cosine and sine values of 45° using the unit circle, we first recognize that 45° corresponds to the angle π/4 radians.In the unit circle, the coordinates of the...