Find the value of sin θ \theta θ given the point ( 2 , − 5 ) \left(2,\ -\sqrt{5}\right) ( 2 , − 5 <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"> )

− 5 3 -\frac{\sqrt{5}}{3} − 3 5 <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">

− 10 3 -\frac{\sqrt{10}}{3} − 3 1 0 <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">

− 3 10 10 -\frac{3\sqrt{10}}{10} − 1 0 3 1 0 <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">

10 10 \frac{\sqrt{10}}{10} 1 0 1 0 <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">

Find the values of sinθ , cosθ , and tanθ for the angle θ in standard position having (– 4, –3) on its terminal side.

sin ⁡ θ = − 3 5 , cos ⁡ θ = − 4 5 , tan ⁡ θ = 3 4 \sin\theta=-\frac{3}{5},\ \cos\theta=-\frac{4}{5},\ \tan\theta=\frac{3}{4} sin θ = − 5 3 , cos θ = − 5 4 , tan θ = 4 3

sin ⁡ θ = 4 5 , cos ⁡ θ = − 3 5 , tan ⁡ θ = 4 3 \sin\theta=\frac{4}{5},\ \cos\theta=-\frac{3}{5},\ \tan\theta=\frac{4}{3} sin θ = 5 4 , cos θ = − 5 3 , tan θ = 3 4

sin ⁡ θ = − 3 5 , cos ⁡ θ = 4 5 , tan ⁡ θ = 3 4 \sin\theta=-\frac{3}{5},\ \cos\theta=\frac{4}{5},\ \tan\theta=\frac{3}{4} sin θ = − 5 3 , cos θ = 5 4 , tan θ = 4 3

sin ⁡ θ = 4 5 , cos ⁡ θ = 3 5 , tan ⁡ θ = − 3 4 \sin\theta=\frac{4}{5},\ \cos\theta=\frac{3}{5},\ \tan\theta=-\frac{3}{4} sin θ = 5 4 , cos θ = 5 3 , tan θ = − 4 3

Evaluate: cos ⁡ 3 π 4 \cos\ \frac{3\pi}{4} cos 4 3 π

− 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 3 -\frac{1}{\sqrt{3}} − 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"> 1

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

2 \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">

Trig Functions of any Angle

Authored by Elizabeth Qutob

Mathematics

9th - 12th Grade

CCSS covered

Used 5+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

19 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let (12,-5) be a point on the terminal side of θ.
What is Cos ø?

13/12

12/13

-5/13

-5/12

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let (3,4) be a point on the terminal side of θ. What is sec ø?

4/3

3/4

5/3

2/3

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

let (-3,-3) be a point on the terminal side of θ.
What is cot θ?

Not me

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the value of sin $\theta$ given the point
$\left(2,\ -\sqrt{5}\right)$

$-\frac{\sqrt{10}}{3}$

$-\frac{3\sqrt{10}}{10}$

$\frac{\sqrt{10}}{10}$

$-\frac{\sqrt{5}}{3}$

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

cosθ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

sinθ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the reference angle for -30°?

150°

30°

80°

60°

Access all questions and much more by creating a free account

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

16 questions

RACIONALIZACIÓN (fcaq)

Quiz

•

10th Grade

15 questions

PELUANG BINOMIAL

Quiz

•

10th - 12th Grade

15 questions

Remidial Dimensi 3

Quiz

•

12th Grade

15 questions

Sistemas de equações

Quiz

•

8th - 9th Grade

15 questions

RIPASSO SECONDA equazioni diseq e parabola

Quiz

•

10th - 12th Grade

15 questions

CALCULO INTEGRAL

Quiz

•

10th Grade - University

20 questions

Areas related to circle

Quiz

•

10th Grade

20 questions

Kuis Kaidah Pencacahan

Quiz

•

12th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

20 questions

Rational and Irrational Numbers, Perfect Squares, & Perfect Cube

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

10 questions

Factoring Quadratic Expressions

Quiz

•

9th Grade

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

Trig Functions of any Angle

Let (12,-5) be a point on the terminal side of θ.
What is Cos ø?

Let (3,4) be a point on the terminal side of θ. What is sec ø?

let (-3,-3) be a point on the terminal side of θ.
What is cot θ?