by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Determine the Value of $sec( heta)$ Given the Coordinates on the Unit Circle Answer 1 Lucas Brown Given a point on the unit circle with coordinates (0.6, 0.8), determine the value of $sec(theta)$. Step 1: Recall the definition of the point on the unit circle:...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the sine and cosine of the angle where the terminal side intersects the unit circle at the point $ left( -frac{1}{2}, frac{sqrt{3}}{2} ight) $. Answer 1 Chloe Evans To find the sine and cosine of the angle whose terminal side intersects the unit circle at...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the angle in the unit circle Answer 1 Emma Johnson Given a point on the unit circle, find the angle such that $sin(theta) = frac{sqrt{3}}{2}$ and $cos(theta) = frac{1}{2}$.First, recognize that the coordinates given correspond to the point $(frac{1}{2},...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home What is the tangent of 45 degrees on the unit circle? Answer 1 Mia Harris The tangent of an angle in the unit circle is given by $ tan(theta) = frac{sin(theta)}{cos(theta)} $. For $ theta = 45^{circ} $ or $ theta = frac{pi}{4} $ rad: $ sin(45^{circ}) =...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the values of $sin$, $cos$, and $ an$ for $45^circ$. Answer 1 Ella Lewis To find the values of $sin$, $cos$, and $tan$ for $45^circ$, we use the unit circle.For $45^circ$: $sin 45^circ = frac{sqrt{2}}{2}$ $cos 45^circ = frac{sqrt{2}}{2}$ $tan 45^circ = 1$...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the value of $sec(frac{pi}{3})$ on the unit circle. Answer 1 Lucas Brown To find $sec(frac{pi}{3})$, we first need to find $cos(frac{pi}{3})$ since $sec(theta) = frac{1}{cos(theta)}$. On the unit circle, for $theta = frac{pi}{3}$, we have $cos(frac{pi}{3}) =...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the sine, cosine, and tangent values of the angle ( frac{pi}{4} ) on the unit circle. Answer 1 Emily Hall To find the sine, cosine, and tangent values of the angle ( frac{pi}{4} ) on the unit circle, we need to recall the coordinates of the corresponding...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find the sine, cosine, and tangent values for the angle $frac{pi}{4}$ on the unit circle. Answer 1 Michael Moore To find the sine, cosine, and tangent values for the angle $frac{pi}{4}$ on the unit circle, we first recognize that $frac{pi}{4}$ is a standard...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home $Find the angle where the tangent is equal to frac{1}{sqrt{3}} on the unit circle.$ Answer 1 Daniel Carter To find the angle where the tangent is equal to ( frac{1}{sqrt{3}} ) on the unit circle, we need to find the angles θ that satisfy this condition. From...
by zhanhongyuan | Feb 16, 2025 | Unit Circle
Home Find all possible equations for circles on the unit circle Answer 1 Matthew Carter The equation of a unit circle is: $x^2 + y^2 = 1$Any circle equation that lies on the unit circle must satisfy this equation. Therefore, an example of such an equation is:$x^2 +...