Unit Circle Trigonometry

The formula for the unit circle is

•  $a^2+b^2=c^2$  

•  $x^2+y^2=1$  

•  $y=mx+b$  

•  $x+y=1$  

•  $\sin+\cos=\tan$  

Tags

CCSS.HSG.GPE.A.1

What is the exact value of $\sin\left(\frac{7\pi}{6}\right)$  ?

•  $\frac{1}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

What is the value of $\cos\left(\frac{5\pi}{3}\right)$  ?

•  $-\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

What is the exact value of $\tan\ \left(\frac{\pi}{4}\right)$  ?

• 1

• 0

• undefined

• -1

Tags

CCSS.HSF.TF.A.3

Is the point  $\left(\frac{4}{7},\frac{\sqrt{33}}{7}\right)$  on the unit circle?

• Yes

• No

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.GPE.A.1

If  $\sin\theta=-\frac{6}{13}$  , what is  $\csc\theta$  ?

•  $\frac{13}{6}$  

•  $\frac{6}{13}$  

•  $-\frac{13}{6}$  

• undefined

• 1

Tags

CCSS.HSG.SRT.C.8

Select all that are equal to 1

•  $\cos\left(2\pi\right)$  

•  $\sin\left(\frac{\pi}{2}\right)$  

•  $\sin\left(270^o\right)$  

•  $\tan\left(\frac{\pi}{4}\right)$  

•  $\cos\left(\pi\right)$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

If $\tan\theta>0$ , which quadrants could  $\theta$  be in?

• Quadrant I and II

• Quadrant II and III

• Quadrant I and III

• Quadrant II and IV

• Quadrant III and IV

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

What is the exact value of $\cot\left(\frac{\pi}{2}\right)$  ?

• 0

• 1

• -1

• undefined

Tags

CCSS.HSF.TF.A.2

What is the exact value of $\csc\left(\frac{2\pi}{3}\right)$  ?

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{2\sqrt{3}}{3}$  

•  $-\frac{1}{2}$  

•  $-2$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8