by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the cosine of $ frac{pi}{3} $ using the unit circle Answer 1 Emma Johnson To find the cosine of $ frac{pi}{3} $ using the unit circle, follow these steps:1. Locate the angle $ frac{pi}{3} $ on the unit circle.2. The angle $ frac{pi}{3} $ corresponds to 60...
by zhanhongyuan | Feb 5, 2025 | Unit Circle
Home Find the exact values of $ sin, cos, $ and $ an $ for $ frac{7pi}{6} $ using the unit circle. Answer 1 Samuel Scott To find the exact values of $ sin, cos, $ and $ tan $ for $ frac{7pi}{6} $ using the unit circle, we need to determine the coordinates of the point...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the $ an$ values of the unit circle at specific angles Answer 1 Emily Hall To find the $tan$ values of the unit circle at specific angles, we can use the fact that $tan(theta) = frac{sin(theta)}{cos(theta)}$: 1. At $theta = frac{pi}{4}$, $ tan(frac{pi}{4}) =...
by zhanhongyuan | Feb 4, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle corresponding to the angle $frac{7pi}{6}$ Answer 1 Olivia Lee To find the coordinates on the unit circle for the angle $frac{7pi}{6}$, we use the unit circle properties: The unit circle coordinates $(x, y)$ for...
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...