by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle where the inverse sine function is equal to $ frac{1}{2} $ Answer 1 Benjamin Clark To find the coordinates of the point on the unit circle where the inverse sine function, $ sin^{-1}(x) $, is equal to $...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Determine the value of $sec( heta)$ given $cos( heta) = -frac{1}{sqrt{2}}$ and $ heta$ is in the third quadrant Answer 1 Ella Lewis Given that $cos(theta) = -frac{1}{sqrt{2}}$ and $theta$ is in the third quadrant, we start by using the identity:$sec(theta) =...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the sine and cosine values at $ t = frac{pi}{4} $ on the unit circle Answer 1 Ella Lewis To find the sine and cosine values at $ t = frac{pi}{4} $ on the unit circle, we use the following values:$ sinleft(frac{pi}{4}right) = frac{1}{sqrt{2}} $$...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Identify the coordinates on the unit circle for $ heta = frac{pi}{4} $ Answer 1 Abigail Nelson To find the coordinates on the unit circle for $ theta = frac{pi}{4} $, we use the unit circle properties.For $ theta = frac{pi}{4} $, the coordinates are given by:$...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the values of $sin$ and $cos$ at the given angle on the unit circle Answer 1 Lily Perez To find the values of $sin$ and $cos$ at an angle of $theta = frac{pi}{3}$ on the unit circle:$sin(frac{pi}{3}) = frac{sqrt{3}}{2}$$cos(frac{pi}{3}) = frac{1}{2}$ Answer...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the angle in radians for a point on the unit circle where the $x$-coordinate is $frac{1}{2}$ Answer 1 Thomas Walker To find the angle $theta$ in radians for a point on the unit circle where the $x$-coordinate is $frac{1}{2}$, we consider the cosine...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home What is the value of $ sin(15^circ) $ using the unit circle? Answer 1 Chloe Evans To find the value of $ sin(15^circ) $ using the unit circle, we use the angle addition formula:$ sin(a + b) = sin(a) cos(b) + cos(a)sin(b) $Here, let $ a = 45^circ $ and $ b =...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Solve for the trigonometric value of $ an(x) $ when $ cos(x) = frac{1}{2} $ on the unit circle Answer 1 Christopher Garcia To solve for $ tan(x) $ given $ cos(x) = frac{1}{2} $ on the unit circle, we must first determine the corresponding $ sin(x) $. On the unit...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle that corresponds to an angle of $ pi/3 $ Answer 1 Abigail Nelson To find the coordinates of the point on the unit circle at an angle of $ pi/3 $ , we use the fact that the unit circle Answer 2 Ava Martin The...
by zhanhongyuan | Feb 6, 2025 | Unit Circle
Home Complete the unit circle with the correct trigonometric values. Answer 1 Matthew Carter To complete the unit circle, fill in the following values:$text{1. } sin(frac{pi}{6}) = frac{1}{2}, cos(frac{pi}{6}) = frac{sqrt{3}}{2}$$text{2. } sin(frac{pi}{4}) =...