Find the tangent values at 0, π/4, and π/3 on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the tangent values at Define the unit circle in trigonometry$, $frac{pi}{4}$, and $frac{pi}{3}$ on the unit circle Answer 1 John Anderson To find the tangent values at points txt1 txt1 txt1$, $frac{pi}{4}$, and $frac{pi}{3}$ on the unit circle, we use the...

Find the coordinates where $ \cos(\theta) = \sin(\theta) $ on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the coordinates where $ cos( heta) = sin( heta) $ on the unit circle Answer 1 Sophia Williams To find the coordinates where $ cos(theta) = sin(theta) $ on the unit circle, we start from the equation: $ cos(theta) = sin(theta) $ Since both cosine and sine are...

Calculate the exact value of sin(7π/6) using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Calculate the exact value of $sinleft(frac{7pi}{6} ight)$ using the unit circle Answer 1 William King To determine the exact value of $sinleft(frac{7pi}{6}right)$ using the unit circle, first note that $frac{7pi}{6}$ is in the third quadrant.In the third...

Find the value of arcsin(sqrt(3)/2) based on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the value of $ arcsin(sqrt{3}/2) $ based on the unit circle Answer 1 Isabella Walker To find the value of $ arcsin(sqrt{3}/2) $, we need to locate where $ sin(x) = sqrt{3}/2 $ on the unit circle.On the unit circle, $ sin(x) = sqrt{3}/2 $ at the angles:$ x =...

Find the value of arccos(-1/2) and verify it using the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the value of $ arccos(-1/2) $ and verify it using the unit circle. Answer 1 Henry Green To find the value of $arccos(-1/2)$, we need to determine the angle in the unit circle whose cosine is $-1/2$.n From the unit circle, we know that:n $ cos(pi –...

Determine the quadrant of a point on the unit circle given by an angle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Determine the quadrant of a point on the unit circle given by an angle $ heta $ Answer 1 Thomas Walker Given an angle $ theta $, we need to determine in which quadrant the corresponding point on the unit circle lies. The quadrants are determined as follows:1. If...

Determine the cotangent of an angle on the unit circle

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Determine the cotangent of an angle on the unit circle ($ heta$) Answer 1 Isabella Walker The cotangent of an angle $ theta $ on the unit circle is given by: $ cot( theta ) = frac{1}{tan( theta )} = frac{cos( theta )}{sin( theta )} $ Let Answer 2 Amelia Mitchell...

Determine the equation of a unit circle and explain the geometric significance

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Determine the equation of a unit circle and explain the geometric significance Answer 1 Abigail Nelson The equation of a unit circle centered at the origin is given by:$ x^2 + y^2 = 1 $This equation signifies that any point $ (x, y) $ on the unit circle is at a...

Find the value of tan(θ) using the unit circle when θ = 3π/4

by zhanhongyuan | Feb 7, 2025 | Unit Circle

Home Find the value of $ an( heta) $ using the unit circle when $ heta = frac{3pi}{4} $ Answer 1 John Anderson We need to find the value of $ tan(theta) $ where $ theta = frac{3pi}{4} $ using the unit circle. The coordinates of the point on the unit circle...

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...