Determine the trigonometric identity of sin(θ) using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Determine the trigonometric identity of $ sin( heta) $ using the unit circle Answer 1 James Taylor To determine the trigonometric identity of $ sin(theta) $ using the unit circle, we start by understanding the unit circle definition:The unit circle is a circle...

Find the values of sin(θ), cos(θ), and tan(θ) for θ = 7π/6 using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the values of $ sin( heta) $, $ cos( heta) $, and $ an( heta) $ for $ heta = frac{7pi}{6} $ using the unit circle Answer 1 Emma Johnson To find the values of $ sin(theta) $, $ cos(theta) $, and $ tan(theta) $ for $ theta = frac{7pi}{6} $ using the unit...

Find the value of cos(θ) when θ is on the Unit Circle at specific points

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the value of $ cos( heta) $ when $ heta $ is on the Unit Circle at specific points Answer 1 James Taylor To find the value of $ cos(theta) $ on the Unit Circle at specific points, consider the following:When $ theta = 0 $:$ cos(0) = 1 $When $ theta =...

Find the values of x that satisfy sin(x) = 05 on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the values of $sin(x) = 0.5$ on the unit circle Answer 1 Maria Rodriguez To find the values of $ sin(x) = 0.5 $ on the unit circle, we need to determine the angles where the sine function equals 0.5. From the unit circle, we know that:$ sin(frac{pi}{6}) =...

Find the value of sin(θ) and cos(θ) at different points on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the value of $ sin( heta) $ and $ cos( heta) $ at different points on the unit circle Answer 1 Maria Rodriguez To find the value of $ sin(theta) $ and $ cos(theta) $ at different points on the unit circle, consider the following angles:1. $theta =...

Fill in the blank: The value of sin(____) at the unit circle when the angle is pi/2 is 1

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Fill in the blank: The value of $sin(____)$ at the unit circle when the angle is $frac{pi}{2}$ is 1. Answer 1 Lucas Brown Fill in the blank: The value of $sin(____)$ at the unit circle when the angle is $frac{pi}{2}$ is 1. Answer 2 Mia Harris The value of...

Find the values of sine, cosine, and tangent of an angle theta when the angle is 225 degrees

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the values of sine, cosine, and tangent of an angle $ heta$ when the angle is $225^circ$ Answer 1 Abigail Nelson To find the values of sine, cosine, and tangent of an angle $theta$ when the angle is $225^circ$, we use the unit circle:The angle $225^circ$...

Find the exact values of sin(3pi/4) and cos(3pi/4) using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the exact values of $ sinleft(frac{3pi}{4} ight) $ and $ cosleft(frac{3pi}{4} ight) $ using the unit circle Answer 1 Michael Moore To find the exact values of $ sinleft(frac{3pi}{4}right) $ and $ cosleft(frac{3pi}{4}right) $, we use the unit circle:$...

Calculate the sine and cosine values at 45 degrees using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Calculate the $sin$ and $cos$ values at $45^circ$ using the unit circle Answer 1 Michael Moore To calculate the sine and cosine values at $45^circ$ using the unit circle, we recognize that a $45^circ$ angle forms an isosceles right triangle in the unit circle.The...

Find the angle corresponding to the point (1/2, -√3/2) on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the angle corresponding to the point $ left( frac{1}{2}, -frac{sqrt{3}}{2} ight) $ on the unit circle. Answer 1 Amelia Mitchell To find the angle that corresponds to the point $ left( frac{1}{2}, -frac{sqrt{3}}{2} right) $ on the unit circle, we look at the...