Quiz(2) trigonometric functions and the unit circle(1)

A point is in Quadrant-III and on the Unit Circle. If its x-coordinate is -4 / 5, what is the y-coordinate of the point?

• 3/5

• -3/5

• -2/5

• 5/3

Tags

CCSS.HSF.TF.A.2

Find the point on the Unit Circle associated with the rotation -9π/2

• (0,-1)

• (0,1)

• (1,0)

• (-1,0)

Tags

CCSS.HSF.TF.A.2

If point (a , b) is on the Unit Circle associated with the rotation t, which of the following is not correct?

• sin(t) = b

• cos(t) = a

• sin(-t) = - a

• cos(-t) = - a

Tags

CCSS.HSF.TF.A.4

If point (a , b) is on the Unit Circle associated with the rotation t and point (c , d) is also on the Unit circle associated with rotation t + π, then which of the following is correct?

• c = - a and d = - b

• c = - a and d = b

• c = a and d = b

• c = a and d = - b

Tags

CCSS.HSF.TF.C.8

Based on your unit circle cos(0^o) =

• 1

• 0

• -1

• 1/2

Tags

CCSS.HSF.TF.A.2

In your unit circle sin(90^o)=

• 0

• -1

• 1/2

• 1

Tags

CCSS.HSF.TF.A.2

tangent is

• opposite / hypotenuse

• sin / cos

• neither the first two answers

• Both the first two answers

Tags

CCSS.HSF.TF.A.2

When does sin(x)=0 ?

•  $x\ =\ \pi$  

•  $x=\frac{\pi}{3}$  

•  $x=\frac{\pi}{2}$  

• never

Tags

CCSS.HSF.TF.B.7

In the unit circle: What is the length in radians of the arc of the circle from $0\degree$  to  $120\degree$  

•  $\frac{\pi}{6}$  

•  $\frac{2\pi}{3}$  

•  $\frac{3\pi}{4}$  

•  $\frac{\pi}{3}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

In the unit circle cos(90 $\degree$ )= 

• 1

• -1

• 0

• 1/2

Tags

CCSS.HSF.TF.A.2