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Deriving the value of cotangent

What is the exact value of Cot30° using unit circle?

$\sqrt{3}$

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

$1$

What is the exact value of Cot45° using unit circle?

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

$1$

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

What is the exact value of Cot60° using unit circle?

$\sqrt{3}$

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

$1$

What is the exact value of Cot300° using unit circle?

$-\sqrt{3}$

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

$1$

What is the exact value of Cot150° using unit circle?

$-\sqrt{3}$

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

What is the exact value of Cot135° using unit circle?

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

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

$-1$

What is the exact value of Cot330° using unit circle?

$\sqrt{3}$

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

$-\sqrt{3}$

What is the exact value of Cot240° using unit circle?

$\sqrt{3}$

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

$1$

What is the exact value of Cot210° using unit circle?

$-\sqrt{3}$

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

$\sqrt{3}$

What is the exact value of Cot225° using unit circle?

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

$1$

$\frac{1}{2}$

Questions

Time

Score

Deriving the value of cotangent

What is the exact value of Cot30° using unit circle?

﻿3\sqrt{3}3​﻿

﻿13\frac{1}{\sqrt{3}}3​1​﻿

﻿111﻿

What is the exact value of Cot45° using unit circle?

﻿−32-\frac{\sqrt{3}}{2}−23​​﻿

﻿111﻿

﻿12\frac{1}{\sqrt{2}}2​1​﻿

What is the exact value of Cot60° using unit circle?

﻿3\sqrt{3}3​﻿

﻿13\frac{1}{\sqrt{3}}3​1​﻿

﻿111﻿

What is the exact value of Cot300° using unit circle?

﻿−3-\sqrt{3}−3​﻿

﻿−13\frac{-1}{\sqrt{3}}3​−1​﻿

﻿111﻿

What is the exact value of Cot150° using unit circle?

﻿−3-\sqrt{3}−3​﻿

﻿−13\frac{-1}{\sqrt{3}}3​−1​﻿

What is the exact value of Cot135° using unit circle?

﻿−32-\frac{\sqrt{3}}{2}−23​​﻿

﻿32\frac{\sqrt{3}}{2}23​​﻿

﻿−1-1−1﻿

What is the exact value of Cot330° using unit circle?

﻿3\sqrt{3}3​﻿

﻿−13\frac{-1}{\sqrt{3}}3​−1​﻿

﻿−3-\sqrt{3}−3​﻿

What is the exact value of Cot240° using unit circle?

﻿3\sqrt{3}3​﻿

﻿13\frac{1}{\sqrt{3}}3​1​﻿

﻿111﻿

What is the exact value of Cot210° using unit circle?

﻿−3-\sqrt{3}−3​﻿

﻿13\frac{1}{\sqrt{3}}3​1​﻿

﻿3\sqrt{3}3​﻿

What is the exact value of Cot225° using unit circle?

﻿−32-\frac{\sqrt{3}}{2}−23​​﻿

﻿111﻿

﻿12\frac{1}{2}21​﻿

Incorrect

Great!

$\sqrt{3}$

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

$1$

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

$1$

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

$\sqrt{3}$

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

$1$

$-\sqrt{3}$

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

$1$

$-\sqrt{3}$

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

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

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

$-1$

$\sqrt{3}$

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

$-\sqrt{3}$

$\sqrt{3}$

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

$1$

$-\sqrt{3}$

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

$\sqrt{3}$

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

$1$

$\frac{1}{2}$