Unit Circle Trigonometry

In which quadrant does  $\theta=30\degree$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

In which quadrant does  $\theta=210\degree$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

In which quadrant does  $\theta=135\degree$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

In which quadrant does  $\theta=\frac{3\pi}{4}$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

In which quadrant does  $\theta=\frac{11\pi}{6}$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

In which quadrant does  $\theta=\frac{4\pi}{3}$  lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

What angle is associated with the ordered pair  $\left(-\frac{\sqrt{2}}{2},\ \frac{\sqrt{2}}{2}\right)$ ?

•  $\frac{\pi}{4}$  

•  $\frac{3\pi}{4}$  

•  $\frac{5\pi}{4}$  

•  $\frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.A.2

What ordered pair is associated with  $\theta=\frac{5\pi}{3}$  

•  $\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$  

•  $\left(\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$  

•  $\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$  

•  $\left(\frac{1}{2},\ -\frac{\sqrt{3}}{2}\right)$  

Tags

CCSS.HSF.TF.A.2

Evaluate $\sin\left(210\degree\right)$  

•  $-\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Tags

CCSS.HSF.TF.A.2

Evaluate $\cos\left(\frac{5\pi}{6}\right)$  

•  $-\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Tags

CCSS.HSF.TF.A.2