Suppose that θ \theta θ is in standard position and the given point is on the terminal side of θ \theta θ . Give the exact value of the indicated trig function for θ \theta θ . ( -20, 48); Find sin θ \theta θ

− 5 13 -\frac{5}{13} − 1 3 5

− 12 13 -\frac{12}{13} − 1 3 1 2

Evaluate the equation. cos 90 ° 90\degree 9 0 °

3 2 \frac{\sqrt{3}}{2} 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">

U n d e f i n e d Undefined U n d e f i n e d

Use the reciprocal identity to find the indicated function value. tan ⁡ θ , g i v e n t h a t cot ⁡ θ = 5 4 \tan\theta,\ given\ that\ \cot\theta=\frac{\sqrt{5}}{4} tan θ , g i v e n t h a t cot θ = 4 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">

4 5 5 \frac{4\sqrt{5}}{5} 5 4 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 5 \frac{\sqrt{5}}{5} 5 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">

4 5 \frac{\sqrt{4}}{5} 5 4 <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 5 4 \frac{5\sqrt{5}}{4} 4 5 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">

Find the value of the trigonometric function. Find tan ⁡ θ , \tan\theta, tan θ , given that sin ⁡ θ = 3 4 a n d θ i s i n q u a d r a n t I I . \sin\theta=\frac{3}{4}\ and\ \theta\ is\ in\ quadrant\ II. sin θ = 4 3 a n d θ i s i n q u a d r a n t I I .

− 3 7 7 -\frac{3\sqrt{7}}{7} − 7 3 7 <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">

− 7 9 -\frac{\sqrt{7}}{9} − 9 7 <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 value of the trigonometric function. Find sec ⁡ θ \sec\theta sec θ , given that tan ⁡ θ = 3 4 a n d θ i s i n q u a d r a n t I . \tan\theta=\frac{3}{4}\ and\ \theta\ is\ in\ quadrant\ I. tan θ = 4 3 a n d θ i s i n q u a d r a n t I .

− 7 9 -\frac{\sqrt{7}}{9} − 9 7 <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 7 7 \frac{3\sqrt{7}}{7} 7 3 7 <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 value of the trigonometric function. Find sin ⁡ θ , \sin\theta, sin θ , given that cos ⁡ θ = 4 7 a n d θ i s i n q u a d r a n t I V . \cos\theta=\frac{4}{7}\ and\ \theta\ is\ in\ quadrant\ IV. cos θ = 7 4 a n d θ i s i n q u a d r a n t I V .

− 33 7 -\frac{\sqrt{33}}{7} − 7 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">

− 33 4 -\frac{\sqrt{33}}{4} − 4 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">

− 33 -\sqrt{33} − 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">

5.2 Trigonometric Functions

Mathematics

9th - 12th Grade

CCSS covered

Used 11+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sketch an angle $\theta$ in standard position such that $\theta$ has the least positive measure and the point (-2, 5) is on the terminal side of $\theta$ .

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sketch an angle of $\theta$ in standard position such that $\theta$ has the least positive measure and the given point ( -2,-7) is on the terminal side of
$\theta$ .

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .

( 6, 8); Find cos $\theta$

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{4}{3}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .
( -3, -2); Find tan $\theta$ .

$\frac{2}{3}$

$\frac{3}{2}$

$-\frac{1}{2}$

$-\frac{3}{4}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .
( -20, 48); Find sin $\theta$

$-\frac{5}{13}$

$-\frac{12}{13}$

$\frac{12}{13}$

$\frac{5}{13}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
IV, $\frac{x}{y}$

Positive

Negative

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
II, $\frac{r}{y}$

Positive

Negative

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
III, $\frac{x}{r}$

Positive

Negative

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate the equation.
cos $90\degree$

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

$1$

$0$

$Undefined$

Tags

CCSS.HSF.TF.A.2

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate the expression.
sin $\left(-180\degree\right)$

Undefined

-1

Tags

CCSS.HSF.TF.A.4

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

20 questions

Intercepts

Quiz

•

8th - 10th Grade

12 questions

Números racionais e irracionais

Quiz

•

9th Grade

15 questions

ระบบจำนวนจริง

Quiz

•

11th Grade

20 questions

Действия с корнями

Quiz

•

8th - 9th Grade

20 questions

Penilaian Tengah Semester Genap Matematika Wajib Kelas XI

Quiz

•

11th Grade

15 questions

TEST SYSTEMS OF INEQUALITIES

Quiz

•

7th - 9th Grade

20 questions

Nilai mutlak

Quiz

•

10th Grade

12 questions

Trigonometric Identity

Quiz

•

11th Grade

Popular Resources on Wayground

10 questions

Factors 4th grade

Quiz

•

4th Grade

10 questions

Cinco de Mayo Trivia Questions

Interactive video

•

3rd - 5th Grade

13 questions

Cinco de mayo

Interactive video

•

6th - 8th Grade

20 questions

Math Review

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

Discover more resources for Mathematics

20 questions

Algebra 1 EOC Review 1

Quiz

•

9th Grade

5 questions

A.EO.1-4 Quizizz Day 1

Quiz

•

9th - 12th Grade

5 questions

A.EO.1-4 Quizizz Day 2

Quiz

•

9th - 12th Grade

5 questions

A.EI.1-3 Quizizz Day 4

Quiz

•

9th - 12th Grade

20 questions

Simple Probability

Quiz

•

10th Grade

21 questions

Factoring Trinomials (a=1)

Quiz

•

9th Grade

15 questions

Algebra 1 EOC Review #1

Quiz

•

9th Grade

5 questions

A.EI.1-3 Quizizz Day 6

Quiz

•

9th - 12th Grade

5.2 Trigonometric Functions

Sketch an angle θ\thetaθ in standard position such that \thetaθ has the least positive measure and the point (-2, 5) is on the terminal side of \thetaθ .

Sketch an angle of θ\thetaθ in standard position such that θ\thetaθ has the least positive measure and the given point ( -2,-7) is on the terminal side of θ\thetaθ .

Suppose that θ\thetaθ is in standard position and the given point is on the terminal side of θ\thetaθ . Give the exact value of the indicated trig function for θ\thetaθ .( 6, 8); Find cos θ\thetaθ

Suppose that θ\thetaθ is in standard position and the given point is on the terminal side of θ\thetaθ . Give the exact value of the indicated trig function for θ\thetaθ . ( -3, -2); Find tan θ\thetaθ .

Suppose that θ\thetaθ is in standard position and the given point is on the terminal side of θ\thetaθ . Give the exact value of the indicated trig function for θ\thetaθ . ( -20, 48); Find sin θ\thetaθ

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative. IV, xy\frac{x}{y}yx​

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative. II, ry\frac{r}{y}yr​

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative. III, xr\frac{x}{r}rx​

Evaluate the equation.cos 90°90\degree90°

Evaluate the expression.sin (−180°)\left(-180\degree\right)(−180°)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Sketch an angle $\theta$ in standard position such that $\theta$ has the least positive measure and the point (-2, 5) is on the terminal side of $\theta$ .

Sketch an angle of $\theta$ in standard position such that $\theta$ has the least positive measure and the given point ( -2,-7) is on the terminal side of
$\theta$ .

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .

( 6, 8); Find cos $\theta$

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .
( -3, -2); Find tan $\theta$ .

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .
( -20, 48); Find sin $\theta$

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
IV, $\frac{x}{y}$

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
II, $\frac{r}{y}$

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
III, $\frac{x}{r}$

Evaluate the equation.
cos $90\degree$

Evaluate the expression.
sin $\left(-180\degree\right)$