by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $Finding the Location of -pi/2 on a Unit Circle$ Answer 1 John Anderson To find the location of $-pi/2$ on the unit circle, we start by understanding that angles are measured from the positive x-axis, and negative angles are measured clockwise. For $-pi/2$...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the coordinates of a point on the unit circle that corresponds to a complex exponential representation $e^{i heta}$ given a specific angle $ heta$ in radians. Answer 1 Sophia Williams To find the coordinates of a point on the unit circle corresponding to...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $Calculate the coordinates and angles on the unit circle$ Answer 1 Samuel Scott To find the coordinates of the point on the unit circle corresponding to an angle of $frac{5pi}{4}$ radians, we use the trigonometric functions sine and cosine. For any angle $theta$,...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $What are the sine and cosine values for the angles 30°, 45°, and 60° on the unit circle?$ Answer 1 Chloe Evans To solve for the sine and cosine values for the angles 30°, 45°, and 60° on the unit circle, we need to refer to the specific values they correspond...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home $Memorizing Key Angles and Coordinates on the Unit Circle$ Answer 1 Abigail Nelson $To memorize key angles and coordinates on the unit circle, start with the basic angles in degrees and radians. Recall that the unit circle has a radius of 1. $ $1. Identify the...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the sine and cosine values for $frac{pi}{4}$ using the unit circle. Answer 1 John Anderson To find the sine and cosine values for $frac{pi}{4}$ using the unit circle, we use the coordinates of the point corresponding to that angle on the circle.The angle...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Calculate the exact value of $ an(-frac{pi}{6})$ using the unit circle and verify by applying trigonometric identities. Answer 1 Ella Lewis Using the unit circle, first note that $-frac{pi}{6}$ is equivalent to $-30^circ$. On the unit circle, this angle...
by zhanhongyuan | Feb 15, 2025 | Unit Circle
Home Find the exact values of $sin(225°)$ and $cos(225°)$ using the unit circle. Answer 1 John Anderson To find the exact values of $sin(225°)$ and $cos(225°)$, we first locate $225°$ on the unit circle. $225°$ is in the third quadrant. The reference angle is $225°...
by zhanhongyuan | Feb 15, 2025 | Math
Home Find the measure of the angle Answer 1 William King Given a circle with center O, and two points A and B on the circumference of the circle, form the angle AOB. If the radius of the circle is 5 cm and the arc AB measures 8 cm, find the measure of the angle AOB in...
by zhanhongyuan | Feb 15, 2025 | Math
Home Find the Radius of a Circle Answer 1 Lucas Brown Given that a circle has a circumference of 31.4 units, find its radius.We know the formula for the circumference of a circle is:$C = 2 pi r$We can rearrange this formula to solve for the radius:$r = frac{C}{2...