by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the value and angle for the given $csc$ value Answer 1 John Anderson Given $csc(theta) = frac{5}{3}$, find the corresponding angle $theta$.We know:$csc(theta) = frac{1}{sin(theta)}$Given,$frac{1}{sin(theta)} = frac{5}{3}$So,$sin(theta) = frac{3}{5}$To find...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the value of the cosecant function for an angle in the unit circle. Answer 1 Henry Green Answer 1: Given an angle ( theta ) in the unit circle, we need to find the value of ( csc(theta) ). Recall that ( csc(theta) = frac{1}{sin(theta)} ). Let’s...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the value of $cot left( frac{pi}{4} ight)$ on the unit circle. Answer 1 James Taylor To find $cot left( frac{pi}{4} right)$, we use the definition of cotangent in terms of sine and cosine.$cot theta = frac{cos theta}{sin theta}$For $theta = frac{pi}{4}$, we...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Calculate the exact value of $ cos(frac{5pi}{6}) $ using the unit circle Answer 1 Emma Johnson We must first determine the reference angle for $ frac{5pi}{6} $. This angle is in the second quadrant. The reference angle for $ frac{5pi}{6} $ is $ pi –...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home $Find the Equations of Circles on the Unit Circle$ Answer 1 Chloe Evans To find the equations of all circles on the unit circle, we start with the general form of a circle’s equation:$ (x – h)^2 + (y – k)^2 = r^2$Since we are dealing with the...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the value of $ an( heta)$ where $ heta$ is a special angle on the unit circle. Answer 1 Matthew Carter To find the value of $tan(theta)$ where $theta$ is a special angle on the unit circle, we use the definition $tan(theta) = frac{sin(theta)}{cos(theta)}$....
by zhanhongyuan | Feb 9, 2025 | Math
Home $ ext{Memorizing the Unit Circle}$ Answer 1 Thomas Walker $text{To memorize the unit circle, observe that it is divided into four quadrants. Each quadrant contains key angles: 0, } frac{pi}{6}, frac{pi}{4}, frac{pi}{3}, frac{pi}{2}, pi, frac{3pi}{2}, text{ and }...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the values of $sin(frac{pi}{4})$ and $cos(frac{pi}{4})$ using the unit circle. Answer 1 Matthew Carter Using the unit circle, we can find the values of $sin(frac{pi}{4})$ and $cos(frac{pi}{4})$ by locating the angle $frac{pi}{4}$ radians. This angle...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Find the Cosine of $45^circ$ Answer 1 Matthew Carter To find the cosine of $45^circ$, we use the unit circle. On the unit circle, the coordinates of the point where the terminal side of the $45^circ$ angle intersects the circle are $(frac{sqrt{2}}{2},...
by zhanhongyuan | Feb 9, 2025 | Unit Circle
Home Problem: Calculate the Sine, Cosine, and Tangent Values of Specific Angles on the Unit Circle Answer 1 Ava Martin Let’s determine the sine, cosine, and tangent values for the angle θ = 225° on the unit circle.First, convert the angle to radians: $ θ = 225°...