Convert the degree measure into radians. 85 ° 85\degree 8 5 °

17 π 36 \frac{17\pi}{36} 3 6 1 7 π

19 π 36 \frac{19\pi}{36} 3 6 1 9 π

17 π 72 \frac{17\pi}{72} 7 2 1 7 π

Convert the degree measure into radians. − 405 ° -405\degree − 4 0 5 °

− 9 π 4 -\frac{9\pi}{4} − 4 9 π

− 9 π 8 -\frac{9\pi}{8} − 8 9 π

− 7 π 8 -\frac{7\pi}{8} − 8 7 π

Convert the radian measure to degrees. − 2 π 5 -\frac{2\pi}{5} − 5 2 π

− 72 ° -72\degree − 7 2 °

− 36 ° -36\degree − 3 6 °

− 252 ° -252\degree − 2 5 2 °

− 108 ° -108\degree − 1 0 8 °

Find the measure of the angle.

10 π 3 \frac{10\pi}{3} 3 1 0 π

− 10 π 3 -\frac{10\pi}{3} − 3 1 0 π

− 17 π 6 -\frac{17\pi}{6} − 6 1 7 π

13 π 3 \frac{13\pi}{3} 3 1 3 π

The terminal side of the angle θ \theta θ passes through the point ( − 24 , 7 ) \left(-24,\ 7\right) ( − 2 4 , 7 ) . Evaluate sin ⁡ θ \sin\theta sin θ

− 7 24 -\frac{7}{24} − 2 4 7

− 24 25 -\frac{24}{25} − 2 5 2 4

− 25 24 -\frac{25}{24} − 2 4 2 5

Find cos ⁡ θ \cos\theta cos θ if csc ⁡ θ = 2 3 \csc\theta=\frac{2}{\sqrt[]{3}} csc θ = 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 ; π 2 < θ < π \frac{\pi}{2}<\theta<\pi 2 π < θ < π

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">

− 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

3 \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">

Which of the following angles is coterminal to − 72 ° -72\degree − 7 2 ° ?

− 432 ° -432\degree − 4 3 2 °

− 288 ° -288\degree − 2 8 8 °

− 252 ° -252\degree − 2 5 2 °

− 36 ° -36\degree − 3 6 °

Give the measure of an angle with 7 12 \frac{7}{12} 1 2 7 rotation clockwise, in radians.

− 7 π 6 -\frac{7\pi}{6} − 6 7 π

− 7 π 12 -\frac{7\pi}{12} − 1 2 7 π

7 π 12 \frac{7\pi}{12} 1 2 7 π

− 31 π 12 -\frac{31\pi}{12} − 1 2 3 1 π

PCCP Practice Quiz 3.1 - 3.2

9th - 12th Grade

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20 Qs

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PCCP Practice Quiz 3.1 - 3.2

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.TF.A.2, HSF.TF.A.1, HSF.TF.C.8

Standards-aligned

Cindy Biedrycki

Used 6+ times

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the degree measure into radians.
$85\degree$

$\frac{17\pi}{36}$

$\frac{19\pi}{36}$

$\frac{17\pi}{72}$

$\frac{\pi}{72}$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the degree measure into radians.
$-405\degree$

$-\frac{9\pi}{8}$

$-\frac{9\pi}{4}$

$\frac{7\pi}{4}$

$-\frac{7\pi}{8}$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the radian measure to degrees.
$-\frac{2\pi}{5}$

$-36\degree$

$-72\degree$

$-252\degree$

$-108\degree$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the quadrant the terminal side of the angle $\theta$ lies:
$\theta=\frac{8\pi}{3}$

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Not in a Quadrant

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Not in a Quadrant

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Not in a Quadrant

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PCCP Practice Quiz 3.1 - 3.2

20 questions

Convert the degree measure into radians. 85°85\degree85°

Convert the degree measure into radians. −405°-405\degree−405°

Convert the radian measure to degrees. −2π5-\frac{2\pi}{5}−52π​

Determine the quadrant the terminal side of the angle θ\thetaθ lies: θ=8π3\theta=\frac{8\pi}{3}θ=38π​

Find the measure of the angle.

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Discover more resources for Mathematics

Convert the degree measure into radians.
$85\degree$

Convert the degree measure into radians.
$-405\degree$

Convert the radian measure to degrees.
$-\frac{2\pi}{5}$

Determine the quadrant the terminal side of the angle $\theta$ lies:
$\theta=\frac{8\pi}{3}$