Find the exact value of the trig ratio. cos ⁡ 30 ° \cos30\degree cos 3 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">

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">

Find the exact value of the trig ratio. cos ⁡ ( − 120 ° ) \cos\left(-120\degree\right) cos ( − 1 2 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">

− 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">

Find the exact value of the trig ratio. cos ⁡ ( 5 π 3 ) \cos\left(\frac{5\pi}{3}\right) cos ( 3 5 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">

− 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">

Find the exact value of the trig ratio. cos ⁡ ( 7 π 6 ) \cos\left(\frac{7\pi}{6}\right) cos ( 6 7 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">

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">

Find the exact value of the trig ratio. sin ⁡ ( − 11 π 6 ) \sin\left(-\frac{11\pi}{6}\right) sin ( − 6 1 1 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">

− 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">

Unit Circle

Authored by Rahman Abdul-Muwwakil

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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14 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the Positive angle in both radians and degrees that represent point H.

$150\degree,\ \frac{5\pi}{6}$

$135\degree,\ \frac{3\pi}{4}$

$180\degree,\ \pi$

$210\degree,\ \frac{7\pi}{6}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the Positive angle in both radians and degrees that represent point D.

$60\degree,\ \frac{\pi}{3}$

$45\degree,\ \frac{\pi}{4}$

$-60\degree,\ -\frac{\pi}{3}$

$90\degree,\ \frac{\pi}{2}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the Positive angle in both radians and degrees that represent point L.

$240\degree,\ \frac{4\pi}{3}$

$225\degree,\ \frac{5\pi}{4}$

$-60\degree,\ -\frac{\pi}{3}$

$270\degree,\ \frac{3\pi}{2}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the Positive angle in both radians and degrees that represent point I.

$180\degree,\ \pi$

$210\degree,\ \frac{7\pi}{6}$

$150\degree,\ \frac{5\pi}{6}$

$360\degree,\ 2\pi$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Name the angle indicated by the graph in both radians and degrees.

$-135\degree,\ -\frac{3\pi}{4}$

$225\degree,\ \frac{5\pi}{4}$

$-120\degree,\ -\frac{2\pi}{3}$

$210\degree,\ \frac{7\pi}{6}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

$-135\degree,\ -\frac{3\pi}{4}$

$225\degree,\ \frac{5\pi}{4}$

$-120\degree,\ -\frac{2\pi}{3}$

$210\degree,\ \frac{7\pi}{6}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Name the angle indicated by the graph in both radians and degrees.

$300\degree,\ \frac{5\pi}{3}$

$315\degree,\ \frac{7\pi}{4}$

$-60\degree,\ -\frac{\pi}{3}$

$-300\degree,\ -\frac{5\pi}{3}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

$300\degree,\ \frac{5\pi}{3}$

$315\degree,\ \frac{7\pi}{4}$

$-60\degree,\ -\frac{\pi}{3}$

$-300\degree,\ -\frac{5\pi}{3}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value of the trig ratio.
$\cos30\degree$

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

$\frac{1}{2}$

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

$-\frac{1}{2}$

Tags

CCSS.HSF.TF.A.2

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value of the trig ratio.
$\sin180\degree$

$0$

$1$

$\frac{1}{2}$

$-1$

Tags

CCSS.HSF.TF.A.2

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Unit Circle

Identify the Positive angle in both radians and degrees that represent point H.

Identify the Positive angle in both radians and degrees that represent point D.

Identify the Positive angle in both radians and degrees that represent point L.

Identify the Positive angle in both radians and degrees that represent point I.

Name the angle indicated by the graph in both radians and degrees.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

Name the angle indicated by the graph in both radians and degrees.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

Find the exact value of the trig ratio. cos⁡30°\cos30\degreecos30°

Find the exact value of the trig ratio. sin⁡180°\sin180\degreesin180°

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Find the exact value of the trig ratio.
$\cos30\degree$

Find the exact value of the trig ratio.
$\sin180\degree$