by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ an(135^circ) $ using the unit circle Answer 1 Benjamin Clark To find the value of $ tan(135^circ) $ using the unit circle, we need to recall that $ tantheta $ is the ratio of the y-coordinate to the x-coordinate of the point where the terminal...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the coordinates of the vertices of a triangle inscribed in a unit circle given angles $ heta_1, heta_2, heta_3 $ Answer 1 Lily Perez Given the angles $ theta_1, theta_2, theta_3 $ of the vertices of the triangle, the coordinates of the vertices on the unit...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
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by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $sin(2x)$ and $cos(2x)$ on the unit circle Answer 1 Benjamin Clark To find the value of $sin(2x)$ and $cos(2x)$ on the unit circle, we can utilize the double-angle formulas: $ sin(2x) = 2sin(x)cos(x) $ $ cos(2x) = cos^2(x) – sin^2(x) $...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ cos(frac{pi}{4}) $ on the unit circle. Answer 1 Mia Harris On the unit circle, the angle $ frac{pi}{4} $ corresponds to 45 degrees. The coordinates of this point are ( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} ). Therefore,$ cos(frac{pi}{4}) =...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the coordinates of a point on the unit circle given the angle $ heta = frac{pi}{4}$ Answer 1 James Taylor To find the coordinates of a point on the unit circle given the angle $theta = frac{pi}{4}$, we use the definitions of sine and cosine:$ x =...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the values of $ sin, cos, $ and $ an $ for an angle of $ frac{pi}{4} $ on the unit circle Answer 1 Matthew Carter To find the values of $ sin, cos, $ and $ tan $ for an angle of $ frac{pi}{4} $ on the unit circle, we start with:$ sinleft(frac{pi}{4}right) =...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Calculate the coordinates of a point on the unit circle at an angle of $ frac{5pi}{6} $ Answer 1 Michael Moore To find the coordinates of a point on the unit circle at an angle of $ frac{5pi}{6} $, we use the unit circle properties.In the unit circle, the...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Find the value of $ an( heta)$ using the unit circle Answer 1 Matthew Carter To find the value of $tan(theta)$ using the unit circle, we need to know the coordinates of the point on the unit circle that corresponds to the angle $theta$.On the unit circle, the...
by zhanhongyuan | Feb 3, 2025 | Unit Circle
Home Determine the values of $ an( heta) $ on the unit circle where $ an( heta) = 1 $ or $ an( heta) = -1 $ Answer 1 Ella Lewis First, note that $ tan(theta) = 1 $ when $ theta = frac{pi}{4} $ or $ theta = frac{5pi}{4} $ on the unit circle. Also, $ tan(theta) = -1 $...