Express 345 ° 345\degree 3 4 5 ° in radian measure.

23 π 12 \frac{23\pi}{12} 1 2 2 3 π

11 π 90 \frac{11\pi}{90} 9 0 1 1 π

Express 121 π 121\pi 1 2 1 π in degree measures.

21 , 780 ° 21,780\degree 2 1 , 7 8 0 °

Express 134 ° 134\degree 1 3 4 ° in radian measures.

67 π 90 \frac{67\pi}{90} 9 0 6 7 π

7 π 36 \frac{7\pi}{36} 3 6 7 π

What is the value of tan ⁡ ( − 60 ° ) \tan\left(-60\degree\right) tan ( − 6 0 ° ) ?

− 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">

− 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">

u n d e f i n e d undefined u n d e f i n e d

− 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">

What is the value of sec ⁡ 5 π 4 \sec\ \frac{5\pi}{4} sec 4 5 π ?

− 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">

− 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">

− 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">

Given sin ⁡ θ = − 1 2 \sin\theta=-\frac{1}{2} sin θ = − 2 1 and − π 2 < θ < π 2 -\frac{\pi}{2}<\theta<\frac{\pi}{2} − 2 π < θ < 2 π , find the value of θ \theta θ .

− π 6 -\frac{\pi}{6} − 6 π

− 7 π 6 -\frac{7\pi}{6} − 6 7 π

Math10_Q3 Quiz

45 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which diagram shows a $150\degree$ angle at standard position.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which diagram shows a $\frac{7\pi}{6}$ angle at standard position.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which diagram shows a $120\degree$ angle at standard position.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which diagram shows a $\frac{2\pi}{3}$ angle at standard position.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What quadrant in which the terminal side of the angle $\frac{7\pi}{5}$ lies.

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

Positive y-axis

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What quadrant in which the terminal side of the angle $-100\degree$ lies?

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

Positive y-axis

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What quadrant in which the terminal side of the angle $-\frac{3\pi}{2}$ lies?

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

Positive y-axis

8.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Express $345\degree$ in radian measure.

$\frac{11\pi}{90}$

$\frac{23\pi}{12}$

$\frac{\pi}{12}$

$\frac{5\pi}{6}$

9.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Express $121\pi$ in degree measures.

$21,780\degree$

$100\degree$

$10,800$

$450\degree$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Express $134\degree$ in radian measures.

$\frac{5\pi}{6}$

$\frac{67\pi}{90}$

$\frac{7\pi}{36}$

$\frac{\pi}{12}$

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Math10_Q3

Which diagram shows a 150°150\degree150° angle at standard position.

Which diagram shows a 7π6\frac{7\pi}{6}67π​ angle at standard position.

Which diagram shows a 120°120\degree120° angle at standard position.

Which diagram shows a 2π3\frac{2\pi}{3}32π​ angle at standard position.

What quadrant in which the terminal side of the angle 7π5\frac{7\pi}{5}57π​ lies.

What quadrant in which the terminal side of the angle −100°-100\degree−100° lies?

What quadrant in which the terminal side of the angle −3π2-\frac{3\pi}{2}−23π​ lies?

Express 345°345\degree345° in radian measure.

Express 121π121\pi121π in degree measures.

Express 134°134\degree134° in radian measures.

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Which diagram shows a $150\degree$ angle at standard position.

Which diagram shows a $\frac{7\pi}{6}$ angle at standard position.

Which diagram shows a $120\degree$ angle at standard position.

Which diagram shows a $\frac{2\pi}{3}$ angle at standard position.

What quadrant in which the terminal side of the angle $\frac{7\pi}{5}$ lies.

What quadrant in which the terminal side of the angle $-100\degree$ lies?

What quadrant in which the terminal side of the angle $-\frac{3\pi}{2}$ lies?

Express $345\degree$ in radian measure.

Express $121\pi$ in degree measures.

Express $134\degree$ in radian measures.