by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the sine, cosine, and tangent values for the angle $ heta = frac{pi}{4}$ on the unit circle. Answer 1 Maria Rodriguez To find the sine, cosine, and tangent values for $theta = frac{pi}{4}$, we use the unit circle properties. For $theta = frac{pi}{4}$:...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the tangent line to the unit circle at the point $(1, 0)$. Answer 1 Michael Moore The equation of the unit circle is $x^2 + y^2 = 1$. The point (1,0) is on the unit circle. The slope of the tangent line at any point (a,b) on the circle can be found by...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Identify the quadrant of an angle Answer 1 Sophia Williams Given an angle of $135°$, determine the quadrant in which this angle lies on the unit circle. The unit circle is divided into four quadrants: Quadrant I: txt1 txt1 txt1°$ to $90°$ Quadrant II: $90°$ to...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the value of $ an( heta)$ on the unit circle where $ heta$ is a special angle Answer 1 Lucas Brown To find the value of $tan(theta)$ on the unit circle, we need to use the relationship $tan(theta) = frac{sin(theta)}{cos(theta)}$. Let’s consider $theta...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the coordinates on the Unit Circle Answer 1 Olivia Lee To determine the coordinates on the unit circle corresponding to an angle of $ frac{5pi}{6} $, we use the trigonometric functions sine and cosine.The cosine of $ frac{5pi}{6} $ corresponds to the...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the exact value of the trigonometric functions for the angle $ heta = frac{5pi}{6}$ using the unit circle. Answer 1 James Taylor First, locate the angle $theta = frac{5pi}{6}$ on the unit circle. This angle is in the second quadrant.In the second quadrant,...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home $Find the values of tan(θ) for specific angles on the unit circle$ Answer 1 Sophia Williams $For θ = frac{3π}{4}, we know that tan(θ) = frac{sin(θ)}{cos(θ)}$ $sin(θ) = sin(frac{3π}{4}) = frac{1}{sqrt{2}}, cos(θ) = cos(frac{3π}{4}) = -frac{1}{sqrt{2}}$ $Therefore,...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the value of $ an$ for the angle $45^{circ}$ on the unit circle. Answer 1 Maria Rodriguez To find the value of $tan 45^{circ}$ on the unit circle, we use the definition of $tan$:$tan theta = frac{sin theta}{cos theta}$For $theta = 45^{circ}$, we know that...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle where the angle is $frac{5pi}{4}$ radians. Answer 1 Samuel Scott To find the coordinates of the point on the unit circle where the angle is $ frac{5pi}{4} $ radians, we can use the definitions of sine and...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the coordinates of the point on the unit circle at an angle of $frac{5pi}{4}$ radians. Answer 1 Alex Thompson To find the coordinates of the point on the unit circle at an angle of $frac{5pi}{4}$ radians, we can use the cosine and sine functions:$ x = cos...