Unit Circle (values and signs)

Find the exact value for  $\sin\frac{\pi}{4}$ .  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $0$  
  

Find the exact value for $\sec\ \frac{3\pi}{2}$ .

• 0

• undefined

• 1

• -1

Find the exact value for $\cos\ \frac{5\pi}{6}$ .

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

Find the exact value for $\tan\ \frac{7\pi}{4}$ .

•  $-1$  

•  $1$  
  

•  $\frac{\sqrt{2}}{2}$  

• undefined

sinθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

cosθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

tanθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

What is the value of cosine at 0?

• $0$

  
  

• $\frac{1}{2}$
  

• $1$

• $\frac{\sqrt{3}}{2}$

What is the reciprocal of the sine function?

• cosecant

• cosine

• secant

• cotangent

Tags

CCSS.HSF.TF.B.6

CCSS.HSF.TF.B.7

Solve the equation for  $0\le\theta<2\pi$  .

 $-4\sin\theta=2$  

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

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

•  $\frac{7\pi}{6}\ and\ \frac{11\pi}{6}$  

•  $\frac{4\pi}{3}\ and\ \frac{5\pi}{3}$