by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the values of $sin( heta)$, $cos( heta)$, and $ an( heta)$ for $ heta = frac{pi}{4}$ using the unit circle Answer 1 Samuel Scott To find the values of $sin(theta)$, $cos(theta)$, and $tan(theta)$ for $theta = frac{pi}{4}$ using the unit circle, we use the...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the values of $sin( heta)$ at specific angles on the unit circle Answer 1 Mia Harris To find the values of $ sin(theta) $ at specific angles on the unit circle, we can use the known values for common angles:At $ theta = 0 $, $ sin(0) = 0 $At $ theta =...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Prove that $ an( heta) sec( heta) = sin( heta) $ where $ heta $ is an angle in the unit circle Answer 1 Maria Rodriguez We start with the definitions of the trigonometric functions on the unit circle.n $ tan(theta) = frac{sin(theta)}{cos(theta)} $n $ sec(theta) =...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the exact values of the coordinates of the point where the unit circle intersects the positive $x$-axis Answer 1 Charlotte Davis The unit circle is defined by the equation: $ x^2 + y^2 = 1 $ The positive x-axis means $ y = 0 $. Substituting $ y = 0 $ into...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Identify the sine value of an angle corresponding to $ frac{3pi}{4} $ Answer 1 Emma Johnson We start by noting that $ frac{3pi}{4} $ is in the second quadrant of the unit circle.In the second quadrant, the sine value is positive, so we have:$ sin left(...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the exact values of $ ext{arcsec}(2) $ Answer 1 Isabella Walker To find the exact value of $ text{arcsec}(2) $, we need to determine the angle $ theta $ such that $ sec(theta) = 2 $ and $ theta $ lies within the range of secant Answer 2 Benjamin Clark To...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find $ sin( heta) $ and $ cos( heta) $ for $ heta $ on the unit circle Answer 1 Alex Thompson To find $ sin(theta) $ and $ cos(theta) $ when $ theta $ is on the unit circle: Recall the unit circle definition: the unit circle is a circle with a radius of 1...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the values of angles at which $ sin( heta) = frac{1}{2} $ on the unit circle Answer 1 Daniel Carter To find the angles $ theta $ such that $ sin(theta) = frac{1}{2} $, we need to locate where the y-coordinate on the unit circle is $ frac{1}{2} $. The angles...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home ”Determine Answer 1 Benjamin Clark Points on the unit circle are given by the coordinates $(cos(theta), sin(theta))$, where $theta$ ranges from txt1 txt1 txt1$ to $2pi$.One pattern to observe is that for every angle $theta$:$ cos(theta + 2npi) = cos(theta)...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Calculate the value of $ an( heta) $ at $ heta = 45° $ using the unit circle Answer 1 Emma Johnson To calculate $ tan(theta) $ at $ theta = 45° $ using the unit circle, we note that at $ 45° $, the coordinates on the unit circle are $ left( frac{sqrt{2}}{2},...