Can You Use AI Images for Commercial Use? A Complete Legal Guide

by hanjianwei | Feb 7, 2025 | Tech

The Rise of AI Images Who would have thought we’d reach a time when machines could create stunning visuals? Well, welcome to today—the era of AI-generated images. These mind-benders don’t sprout from a human with an easel but from cleverly designed algorithms....

Identify the angle on the unit circle for cos(θ) = 1/2

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Identify the angle on the unit circle for $cos( heta) = frac{1}{2}$ Answer 1 Emma Johnson To identify the angles where $cos(theta) = frac{1}{2}$, we look at the unit circle:In the first quadrant, $theta = frac{pi}{3}$, and in the fourth quadrant, $theta =...

Determine the cosine value of an angle given on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Determine the cosine value of an angle given on the unit circle Answer 1 Sophia Williams Given an angle $ theta $ on the unit circle, we need to determine the value of $ cos(theta) $.For example, if $ theta = frac{pi}{3} $, we can use the unit circle to find:$...

Find the coordinates of $\frac{3\pi}{4}$ on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the coordinates of $ frac{3pi}{4} $ on the unit circle Answer 1 Thomas Walker To find the coordinates of $ frac{3pi}{4} $ on the unit circle, we use the unit circle properties: The x-coordinate is: $ x = cosleft( frac{3pi}{4} right) = -frac{sqrt{2}}{2} $ The...

Find the coordinates of a point on the unit circle corresponding to an angle of 5π/6

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the coordinates of a point on the unit circle corresponding to an angle of $ frac{5pi}{6} $ Answer 1 Daniel Carter To find the coordinates of a point on the unit circle at an angle of $ frac{5pi}{6} $, we use the unit circle definitions for sine and cosine:...

Describe the unit circle and determine the coordinates of a point with a given angle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Describe the unit circle and determine the coordinates of a point with a given angle Answer 1 Ava Martin The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane, i.e., at (0, 0). The equation of the unit circle is:$ x^2 +...

Find the solutions to arcsin(x) = π/6 using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the solutions to $ arcsin(x) = frac{pi}{6} $ using the unit circle Answer 1 Henry Green To find the solutions for $ arcsin(x) = frac{pi}{6} $ using the unit circle, we need to identify the values of $x$ for which the angle is $ frac{pi}{6} $:On the unit...

Find the values of tan(θ) for specific angles on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the values of $ an( heta) $ for specific angles on the unit circle Answer 1 Ella Lewis To find the values of $ tan(theta) $ for specific angles on the unit circle, consider the angles $ theta = frac{pi}{4}, frac{3pi}{4}, frac{5pi}{4}, frac{7pi}{4} $:For $...

Find the coordinates on the unit circle corresponding to an angle of θ

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the coordinates on the unit circle corresponding to an angle of $ heta $ Answer 1 Daniel Carter To find the coordinates on the unit circle for an angle $ theta $, we use the trigonometric functions sine and cosine. The coordinates are given by:n $ (x, y) =...

Find the points on the unit circle where the secant of the angle is equal to 2, and prove their coordinates

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the points on the unit circle where the $ sec( heta) = 2 $, and prove their coordinates. Answer 1 Ava Martin To find points on the unit circle where $ sec(theta) = 2 $, recall that: $ sec(theta) = frac{1}{cos(theta)} $ Thus, we need: $ frac{1}{cos(theta)} =...