Which angle is coterminal to 405 ° 405\degree 4 0 5 °

− 310 ° -310\degree − 3 1 0 °

Find the reference angle for -\frac{2\pi}{3} − 3 2 π

− π 3 -\frac{\pi}{3} − 3 π

Find the exact value of cos ⁡ ( − 45 ° ) \cos\left(-45\degree\right) cos ( − 4 5 ° )

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

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">

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 Angles Quiz: 14 Practice Questions

14 questions

Show all answers

1.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the reference angle for
$120\degree$
(Type the angle with no degree symbol)

(a)

2.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the reference angle for
$\frac{7\pi}{4}$
(Type pi for the $\pi$ symbol)

(a)

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the quadrant in which the angle $\theta$ lies.
$\sin\theta<0,\ \cos\theta>0$

I

II

III

IV

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use the reference angle to find the exact value of the expression. Do not use calculator.

$\sin\ \frac{3\pi}{4}$

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

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

$\sqrt{2}$

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

Tags

CCSS.HSF.TF.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle is coterminal to
$405\degree$

$45\degree$

$30\degree$

$760\degree$

$-310\degree$

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the reference angle for

$-135\degree$
(Type only the angle without the degree symbol)

(a)

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the value for

$\sin180\degree$

0

1

-1

undefined

Tags

CCSS.HSF.TF.A.2

8.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the exact value of the expression

$\tan\left(7\pi\right)$

(a)

Tags

CCSS.HSF.TF.A.2

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the reference angle for

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

$\frac{2\pi}{3}$

$\frac{\pi}{3}$

$\frac{\pi}{6}$

$-\frac{\pi}{3}$

Tags

CCSS.HSF.TF.B.7

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value of

$\cos\left(-45\degree\right)$

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

$\frac{1}{2}$

$\sqrt{2}$

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

Tags

CCSS.HSF.TF.A.4

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Trig Functions of Any Angles

Find the reference angle for 120°120\degree120° (Type the angle with no degree symbol) (a)

Find the reference angle for 7π4\frac{7\pi}{4}47π​ (Type pi for the π\piπ symbol) (a)

Name the quadrant in which the angle θ\thetaθ lies. sin⁡θ<0, cos⁡θ>0\sin\theta<0,\ \cos\theta>0sinθ<0, cosθ>0

Use the reference angle to find the exact value of the expression. Do not use calculator. sin⁡ 3π4\sin\ \frac{3\pi}{4}sin 43π​

Which angle is coterminal to 405°405\degree405°

Find the reference angle for −135°-135\degree−135° (Type only the angle without the degree symbol) (a)

Find the value for \sin180\degreesin180°

Find the exact value of the expression \tan\left(7\pi\right)tan(7π) (a)

Find the reference angle for -\frac{2\pi}{3}−32π​

Find the exact value of cos⁡(−45°)\cos\left(-45\degree\right)cos(−45°)

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Discover more resources for Mathematics

Find the reference angle for
$120\degree$
(Type the angle with no degree symbol)

(a)

Find the reference angle for
$\frac{7\pi}{4}$
(Type pi for the $\pi$ symbol)

(a)

Name the quadrant in which the angle $\theta$ lies.
$\sin\theta<0,\ \cos\theta>0$

Use the reference angle to find the exact value of the expression. Do not use calculator.

$\sin\ \frac{3\pi}{4}$

Which angle is coterminal to
$405\degree$

Find the reference angle for

$-135\degree$
(Type only the angle without the degree symbol)

(a)

Find the value for

$\sin180\degree$

Find the exact value of the expression

$\tan\left(7\pi\right)$

(a)

Find the reference angle for

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

Find the exact value of

$\cos\left(-45\degree\right)$