by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the value of $ cos( heta) $ using the unit circle when $ heta = frac{5pi}{4} $ Answer 1 Chloe Evans To find the value of $ cos(theta) $ using the unit circle when $ theta = frac{5pi}{4} $, we first locate this angle on the unit circle.The angle $ theta =...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the equation of the line tangent to the unit circle at point $(1, 0)$ Answer 1 Abigail Nelson To find the equation of the tangent line to the unit circle at $(1, 0)$, we first recognize that the unit circle has the equation:$ x^2 + y^2 = 1 $The slope of the...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the value of $ sec( heta) $ when $ heta $ is on the unit circle Answer 1 Isabella Walker Given that $ theta $ is an angle on the unit circle, we know that:$ sec(theta) = frac{1}{cos(theta)} $The cosine of $ theta $ can be found using the coordinates (x, y)...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the sine and cosine values for the angle $ frac{5pi}{4} $ using the unit circle Answer 1 Olivia Lee To find the sine and cosine values for the angle $ frac{5pi}{4} $ using the unit circle, first note that this angle is in the third quadrant. In the unit...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 2 Find the coordinates of the point on the unit circle at $frac{3pi}{4}$ radians Answer 1 Christopher Garcia The unit circle has a radius of 1 and can be represented by the equation:$ x^2 + y^2 = 1 $At an angle of $frac{3pi}{4}$ radians, the coordinates...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 2 Evaluate the sine and cosine of $ frac{pi}{4} $ Answer 1 Joseph Robinson To evaluate the sine and cosine of $ frac{pi}{4} $, we use the unit circle values:The sine of $ frac{pi}{4} $ is:$ sin left( frac{pi}{4} right) = frac{sqrt{2}}{2} $The cosine of...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home > Page 2 Determine the coordinates on the unit circle where the tangent line passes through the point $(1, 2)$ Answer 1 Michael Moore To find the points on the unit circle where the tangent line passes through the point $(1, 2)$, we can use the following...
by zhanhongyuan | Feb 5, 2025 | Math
Home Determine the sine of $ frac{pi}{4} $ on the unit circle Answer 1 Amelia Mitchell To determine the sine of $ frac{pi}{4} $ on the unit circle, recall that the coordinates for $ frac{pi}{4} $ are:$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} right) $The y-coordinate...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home What is the $cos( heta)$ of an angle in the unit circle if the $sin( heta)$ is negative? Answer 1 Thomas Walker In the unit circle, if the $sin(theta)$ is negative, it means that the angle $theta$ is in the third or fourth quadrant. In both of these quadrants,...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Determine the position of $ -frac{pi}{2} $ on a unit circle Answer 1 Chloe Evans To find the position of $ -frac{pi}{2} $ on a unit circle, we start by understanding that the unit circle is a circle with radius 1 centered at the origin (0,0). The angle $...