by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the sine and cosine of the angle $ pi/3 $ using the unit circle Answer 1 Emily Hall To find the sine and cosine of the angle $ pi/3 $ using the unit circle, consider the angle that corresponds to $ pi/3 $ radians (or 60 degrees).In the unit circle, the...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the coordinates of the point where the terminal side of the angle intersects the unit circle at an angle of $frac{5pi}{4}$ radians Answer 1 Emma Johnson To find the coordinates of the point where the terminal side of the angle intersects the unit circle at...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the coordinates of $ cos(frac{pi}{3}) $ on the unit circle Answer 1 Henry Green To find the coordinates of $ cos(frac{pi}{3}) $ on the unit circle, we need to identify the coordinates associated with this angle.On the unit circle, the angle $ frac{pi}{3} $...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home ”Determine Answer 1 Chloe Evans To determine the general solution for $ sin(x) = frac{1}{2} $ within the interval $ [0, 2pi] $, we need to find all the angles $ x $ where the sine function yields $ frac{1}{2} $ on the unit circle.The sine function equals $...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the coordinates of points on the unit circle where the tangent line is horizontal. Answer 1 Emma Johnson To find the coordinates on the unit circle where the tangent line is horizontal, we first recall that the unit circle is defined by the equation: $...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home What are the coordinates of $frac{3pi}{4}$ on the unit circle? Answer 1 Thomas Walker The coordinates of $ frac{3pi}{4} $ on the unit circle can be found using the unit circle definitions. The angle $ frac{3pi}{4} $ corresponds to $ 135^{circ} $. At this angle,...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the sine and cosine of $ frac{7pi}{6} $ on the unit circle. Answer 1 Michael Moore To find the sine and cosine of $ frac{7pi}{6} $ on the unit circle, we first determine the reference angle. The reference angle for $ frac{7pi}{6} $ is $ frac{pi}{6} $.The...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the sine and cosine of $150^circ$ on the unit circle Answer 1 Henry Green To find the sine and cosine of $150^circ$, we first identify its reference angle:The reference angle for $150^circ$ is:$180^circ – 150^circ = 30^circ$The sine and cosine of...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the equation of the inverse of the unit circle Answer 1 Lucas Brown The equation of the unit circle is:n $ x^2 + y^2 = 1 $n To find the inverse, we use the transformation:n $ z = x0crac{1}{x + yi} $n where $ z = u + vi $ and $ x + yi = x0crac{1}{u –...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the values of $ arcsin( frac{1}{2} ) $ using the unit circle Answer 1 Michael Moore To find the values of $ arcsin( frac{1}{2} ) $ using the unit circle, we look for the angles $ theta $ whose sine value is $ frac{1}{2} $.On the unit circle, the sine value...