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Understand That For Any Angle θ On The Unit Circle With Points (x,y), □csc csc θ =1/y

Let the point (-1,0) lies on the unit circle. Find value of csc θ

0 -1

∞

Let the point $\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$ lies on the unit circle. Find value of csc θ

$\sqrt{3}$

$\frac{\sqrt{3}}{2}$

$\frac{2}{\sqrt{3}}$

Let the point $\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$ lies on the unit circle. Find value of csc θ

0 $\frac{1}{\sqrt{2}}$

$-\sqrt{2}$

Let the point (1,0) lies on the unit circle. Find value of csc θ

0

1 ∞

Let the point $\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)$ lies on the unit circle. Find value of csc θ

-2

$\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

Let the point (0,-1) lies on the unit circle. Find value of csc θ

0 -1

∞

Let the point $\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{2}}$

$\sqrt{2}$

$\frac{1}{2}$

Let the point (0,1) lies on the unit circle. Find value of csc θ

1

0 ∞

Let the point $\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{3}}$

2 $\frac{1}{2}$

Let the point $\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{2}}$

$-\frac{2}{\sqrt{3}}$

$-\frac{1}{2}$

Questions

Time

Score

Understand That For Any Angle θ On The Unit Circle With Points (x,y), □csc csc θ =1/y

Let the point (-1,0) lies on the unit circle. Find value of csc θ

0

-1

∞

Let the point ﻿(12,32)\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)(21​,23​​)﻿ lies on the unit circle. Find value of csc θ

﻿3\sqrt{3}3​﻿

﻿32\frac{\sqrt{3}}{2}23​​﻿

﻿23\frac{2}{\sqrt{3}}3​2​﻿

Let the point ﻿(−22,−22)\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)(−22​​,−22​​)﻿ lies on the unit circle. Find value of csc θ

0

﻿12\frac{1}{\sqrt{2}}2​1​﻿

﻿−2-\sqrt{2}−2​﻿

Let the point (1,0) lies on the unit circle. Find value of csc θ

0

1

∞

Let the point ﻿(−32,−12)\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)(2−3​​,2−1​)﻿ lies on the unit circle. Find value of csc θ

-2

﻿32\frac{\sqrt{3}}{2}23​​﻿

﻿12\frac{1}{2}21​﻿

Let the point (0,-1) lies on the unit circle. Find value of csc θ

0

-1

∞

Let the point ﻿(12,12)\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)(2​1​,2​1​)﻿ lies on the unit circle. Find value of csc θ

﻿12\frac{1}{\sqrt{2}}2​1​﻿

﻿2\sqrt{2}2​﻿

﻿12\frac{1}{2}21​﻿

Let the point (0,1) lies on the unit circle. Find value of csc θ

1

0

∞

Let the point ﻿(32,12)\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)(23​​,21​)﻿ lies on the unit circle. Find value of csc θ

﻿13\frac{1}{\sqrt{3}}3​1​﻿

2

﻿12\frac{1}{2}21​﻿

Let the point ﻿(−12,−32)\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)(2−1​,2−3​​)﻿ lies on the unit circle. Find value of csc θ

﻿12\frac{1}{\sqrt{2}}2​1​﻿

﻿−23-\frac{2}{\sqrt{3}}−3​2​﻿

﻿−12-\frac{1}{2}−21​﻿

Incorrect

Great!

Let the point $\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$ lies on the unit circle. Find value of csc θ

$\sqrt{3}$

$\frac{\sqrt{3}}{2}$

$\frac{2}{\sqrt{3}}$

Let the point $\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{2}}$

$-\sqrt{2}$

Let the point $\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

Let the point $\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{2}}$

$\sqrt{2}$

$\frac{1}{2}$

Let the point $\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{3}}$

$\frac{1}{2}$

Let the point $\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)$ lies on the unit circle. Find value of csc θ

$\frac{1}{\sqrt{2}}$

$-\frac{2}{\sqrt{3}}$

$-\frac{1}{2}$