Using your unit circle, what is csc ⁡ ( − 7 π 3 ) \csc\left(-\frac{7\pi}{3}\right) csc ( − 3 7 π ) ?

− 2 3 3 -\frac{2\sqrt{3}}{3} − 3 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 3 3 \frac{2\sqrt{3}}{3} 3 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

If sin ⁡ ( θ ) = 3 4 \sin\left(\theta\right)=\frac{\sqrt{3}}{4} sin ( θ ) = 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> and cos ⁡ ( θ ) = − 13 4 \cos\left(\theta\right)=-\frac{\sqrt{13}}{4} cos ( θ ) = − 4 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> what is tan( θ \theta θ )?

− 39 13 -\frac{\sqrt{39}}{13} − 1 3 3 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 4 13 13 -\frac{4\sqrt{13}}{13} − 1 3 4 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4 3 3 \frac{4\sqrt{3}}{3} 3 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 39 3 -\frac{\sqrt{39}}{3} − 3 3 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Given that sin ⁡ ( θ ) = − 21 5 \sin\left(\theta\right)=-\frac{\sqrt{21}}{5} sin ( θ ) = − 5 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> and cos ⁡ ( θ ) = 2 5 \cos\left(\theta\right)=\frac{2}{5} cos ( θ ) = 5 2 , what is cot ⁡ ( θ ) \cot\left(\theta\right) cot ( θ ) ?

− 2 21 21 -\frac{2\sqrt{21}}{21} − 2 1 2 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 21 2 -\frac{\sqrt{21}}{2} − 2 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

21 2 \frac{\sqrt{21}}{2} 2 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 21 21 \frac{2\sqrt{21}}{21} 2 1 2 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

sin ⁡ 225 ° \sin225\degree sin 2 2 5 ° =_______

− 1 2 -\frac{1}{\sqrt{2}} − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

1 2 \frac{1}{\sqrt{2}} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

cos ⁡ 315 ° \cos315\degree cos 3 1 5 ° = ______

1 2 \frac{1}{\sqrt{2}} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

− 1 2 -\frac{1}{\sqrt{2}} − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

Unit Circle and Trig 2/15/21

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.TF.A.2, HSF.TF.C.8, HSG.SRT.C.7

+6

Standards-aligned

Jesus Martinez

Used 4+ times

FREE Resource

37 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Using your unit circle, what is $\csc\left(-\frac{7\pi}{3}\right)$ ?

$2$

$-2$

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

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

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Using your unit circle, what is $\cot\left(-5\pi\right)$ ?

$0$

$1$

$-1$

undefined

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Choose all the trigonometric ratios below that have a solutions of $-\frac{1}{2}$ .

$\sin\left(330^o\right)$

$\cos\left(120^o\right)$

$\sin\left(-30^o\right)$

$\cos\left(240^o\right)$

$\sin\left(-240^o\right)$

Tags

CCSS.HSG.SRT.C.7

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If $\sin\left(\theta\right)=\frac{\sqrt{3}}{4}$ and $\cos\left(\theta\right)=-\frac{\sqrt{13}}{4}$ what is tan( $\theta$ )?

$-\frac{4\sqrt{13}}{13}$

$\frac{4\sqrt{3}}{3}$

$-\frac{\sqrt{39}}{3}$

$-\frac{\sqrt{39}}{13}$

Tags

CCSS.HSG.SRT.C.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given that $\sin\left(\theta\right)=-\frac{\sqrt{21}}{5}$ and $\cos\left(\theta\right)=\frac{2}{5}$ , what is $\cot\left(\theta\right)$ ?

$-\frac{\sqrt{21}}{2}$

$\frac{\sqrt{21}}{2}$

$-\frac{2\sqrt{21}}{21}$

$\frac{2\sqrt{21}}{21}$

Tags

CCSS.HSF.TF.C.8

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

sin (π/2)

√3/2

√2/2

1/2

1

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

cos (π/4)

√3/2

√2/2

1/2

1

Tags

CCSS.HSG.SRT.C.7

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

40 questions

5P- OTRA PRÁCTICA

Quiz

•

11th Grade

40 questions

MTK-PAS_2019_KLAS XII-A,D

Quiz

•

12th Grade

40 questions

Matematika

Quiz

•

12th Grade

37 questions

龍騰數學2-數列、級數、計數原理

Quiz

•

10th Grade - University

40 questions

AutoCad Quiz #2

Quiz

•

9th - 12th Grade

35 questions

Algebra 2 Chapter 7 Exponential and Logarithmic Functions

Quiz

•

8th - 12th Grade

40 questions

SOAL UJIAN KELAS XII MIA 1 2

Quiz

•

12th Grade

40 questions

SOAL TO MATEMATIKA SMPN Satap Cipinang

Quiz

•

12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade

15 questions

Identify Triangle Congruence Postulates

Quiz

•

9th - 12th Grade

12 questions

Combine Like Terms

Quiz

•

6th - 12th Grade

20 questions

Multi-Step Equations and Variables on Both Sides

Quiz

•

9th - 12th Grade

20 questions

Multiplication and Division Facts

Quiz

•

3rd - 12th Grade

30 questions

Unit 1 Final Review

Quiz

•

9th - 12th Grade

17 questions

Triangle Congruence Theorems

Quiz

•

9th - 11th Grade

Unit Circle and Trig 2/15/21

37 questions

Using your unit circle, what is $\csc\left(-\frac{7\pi}{3}\right)$ ?

Using your unit circle, what is $\cot\left(-5\pi\right)$ ?

Choose all the trigonometric ratios below that have a solutions of $-\frac{1}{2}$ .

If $\sin\left(\theta\right)=\frac{\sqrt{3}}{4}$ and $\cos\left(\theta\right)=-\frac{\sqrt{13}}{4}$ what is tan( $\theta$ )?

Given that $\sin\left(\theta\right)=-\frac{\sqrt{21}}{5}$ and $\cos\left(\theta\right)=\frac{2}{5}$ , what is $\cot\left(\theta\right)$ ?

sin (π/2)

cos (π/4)

cos(π)

cos(5π/3)

tan(3π/4)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Unit Circle and Trig 2/15/21

37 questions

Using your unit circle, what is csc⁡(−7π3)\csc\left(-\frac{7\pi}{3}\right)csc(−37π​) ?

Using your unit circle, what is cot⁡(−5π)\cot\left(-5\pi\right)cot(−5π) ?

Choose all the trigonometric ratios below that have a solutions of −12-\frac{1}{2}−21​ .

If sin⁡(θ)=34\sin\left(\theta\right)=\frac{\sqrt{3}}{4}sin(θ)=43​​ and cos⁡(θ)=−134\cos\left(\theta\right)=-\frac{\sqrt{13}}{4}cos(θ)=−413​​ what is tan( θ\thetaθ )?

Given that sin⁡(θ)=−215\sin\left(\theta\right)=-\frac{\sqrt{21}}{5}sin(θ)=−521​​ and cos⁡(θ)=25\cos\left(\theta\right)=\frac{2}{5}cos(θ)=52​ , what is cot⁡(θ)\cot\left(\theta\right)cot(θ) ?

sin (π/2)

cos (π/4)

cos(π)

cos(5π/3)

tan(3π/4)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Using your unit circle, what is $\csc\left(-\frac{7\pi}{3}\right)$ ?

Using your unit circle, what is $\cot\left(-5\pi\right)$ ?

Choose all the trigonometric ratios below that have a solutions of $-\frac{1}{2}$ .

If $\sin\left(\theta\right)=\frac{\sqrt{3}}{4}$ and $\cos\left(\theta\right)=-\frac{\sqrt{13}}{4}$ what is tan( $\theta$ )?

Given that $\sin\left(\theta\right)=-\frac{\sqrt{21}}{5}$ and $\cos\left(\theta\right)=\frac{2}{5}$ , what is $\cot\left(\theta\right)$ ?