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Extend Your Knowledge Of The Coordinates At 〖30〗^°,〖45〗^° ,〖60〗^° Angles To Find Coordinates In The Other Three Quadrants Of The Unit Circle

Find the coordinates of the point A(x ,y ) where the terminal side of the 210angle intersects the unit circle.

$\left(-\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point (x ,y ) where the terminal side of the 315⁰ angle intersects the unit circle.

$\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point B(x ,y ) where the terminal side of the 180angle intersects the unit circle.

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-1,0\right)$

Find the coordinates of the point A(x ,y ) where the terminal side of the 120⁰angle intersects the unit circle.

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point A(x ,y ) where the terminal side of the 135⁰ angle intersects the unit circle.

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point A(x ,y ) where the terminal side of the 225angle intersects the unit circle.

$\left(-\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point B(x ,y ) where the terminal side of the 240angle intersects the unit circle.

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point B(x ,y ) where the terminal side of the 330angle intersects the unit circle.

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

Find the coordinates of the point B(x ,y ) where the terminal side of the 300 angle intersects the unit circle.

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point (x ,y ) where the terminal side of the 135angle intersects the unit circle.

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

Questions

Time

Score

Extend Your Knowledge Of The Coordinates At 〖30〗^°,〖45〗^° ,〖60〗^° Angles To Find Coordinates In The Other Three Quadrants Of The Unit Circle

Find the coordinates of the point A(x ,y ) where the terminal side of the 210angle intersects the unit circle.

﻿(−32,−12)\left(-\frac{\sqrt{3}}{2},\frac{-1}{2}\right)(−23​​,2−1​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−22,22)\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)(−22​​,22​​)﻿

Find the coordinates of the point (x ,y ) where the terminal side of the 3150 angle intersects the unit circle.

﻿(22,−22)\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)(22​​,2−2​​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−22,22)\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)(−22​​,22​​)﻿

Find the coordinates of the point B(x ,y ) where the terminal side of the 180angle intersects the unit circle.

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

﻿(−1,0)\left(-1,0\right)(−1,0)﻿

Find the coordinates of the point A(x ,y ) where the terminal side of the 1200 angle intersects the unit circle.

﻿(−12,32)\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)(−21​,23​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

Find the coordinates of the point A(x ,y ) where the terminal side of the 1350 angle intersects the unit circle.

﻿(−22,22)\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)(−22​​,22​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

Find the coordinates of the point A(x ,y ) where the terminal side of the 225angle intersects the unit circle.

﻿(−22,−22)\left(-\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)(−22​​,2−2​​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

Find the coordinates of the point B(x ,y ) where the terminal side of the 240angle intersects the unit circle.

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−12,32)\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)(−21​,23​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

Find the coordinates of the point B(x ,y ) where the terminal side of the 330angle intersects the unit circle.

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−22,22)\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)(−22​​,22​​)﻿

﻿(32,−12)\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)(23​​,2−1​)﻿

Find the coordinates of the point B(x ,y ) where the terminal side of the 300 angle intersects the unit circle.

﻿(−12,32)\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)(−21​,23​​)﻿

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

Find the coordinates of the point (x ,y ) where the terminal side of the 135angle intersects the unit circle.

﻿(−12,22)\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)(−21​​,22​​)﻿

﻿(−32,22)\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)(−23​​,22​​)﻿

﻿(−22,22)\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)(−22​​,22​​)﻿

Incorrect

Great!

$\left(-\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point (x ,y ) where the terminal side of the 315⁰ angle intersects the unit circle.

$\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-1,0\right)$

Find the coordinates of the point A(x ,y ) where the terminal side of the 120⁰angle intersects the unit circle.

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

Find the coordinates of the point A(x ,y ) where the terminal side of the 135⁰ angle intersects the unit circle.

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(\frac{\sqrt{3}}{2},\frac{-1}{2}\right)$

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{1}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$