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Worksheets

Gateway #1

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

 cos⁡ 60°\cos\ 60\degree  

a)

0

b)

 12\frac{1}{2}  

c)

 −12-\frac{1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

e)

 −32-\frac{\sqrt{3}}{2}  

2.

 csc⁡ π4\csc\ \frac{\pi}{4}  

a)

 22\frac{\sqrt{2}}{2}  

b)

 −22-\frac{\sqrt{2}}{2}  

c)

 233\frac{2\sqrt{3}}{3}  

d)

 −233-\frac{2\sqrt{3}}{3}  

e)

 2\sqrt{2}  

3.

In QII, the value of sin⁡θ\sin\theta  is....


a)

positive

b)

negative

c)

odd

d)

even

4.

 sec⁡ 600°\sec\ 600\degree  

a)

2

b)

-2

c)

 12\frac{1}{2}  

d)

 −12-\frac{1}{2}  

e)

 −32-\frac{\sqrt{3}}{2}  

5.

 On the unit circle, cos⁡θ is the......On\ the\ unit\ circle,\ \cos\theta\ is\ the......  

a)

x value of the coordinate

b)

y value of the coordinate

c)

the slope of the line at that angle

d)

the angle measure

e)

a radian

6.

 sec⁡ 3π2\sec\ \frac{3\pi}{2}  

a)

Undefined

b)

0

c)

1

d)

-1

7.

Check all that apply.


 A radian is......A\ radian\ is......  

a)

x value of the coordinate

b)

y value of the coordinate

c)

the slope of the line at that angle

d)

an angle measure

e)

a radius of the circle lying on the circumference

8.

 tan⁡ (−765°)\tan\ \left(-765\degree\right)  

a)

1

b)

-1

c)

0

d)

Undefined

9.

 cot⁡ 240°\cot\ 240\degree  

a)

 3\sqrt{3}  

b)

 −3-\sqrt{3}  

c)

 33\frac{\sqrt{3}}{3}  

d)

 −33-\frac{\sqrt{3}}{3}  

10.

 On the unit circle, θ is the......On\ the\ unit\ circle,\ \theta\ is\ the......  

a)

x value of the coordinate

b)

y value of the coordinate

c)

the slope of the line at that angle

d)

the angle measure

e)

a radian

11.

 cos⁡ (−2π3)\cos\ \left(-\frac{2\pi}{3}\right)  

a)

0

b)

 12\frac{1}{2}  

c)

 −12-\frac{1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

e)

 −32-\frac{\sqrt{3}}{2}  

12.

 csc⁡ (−2π3)\csc\ \left(-\frac{2\pi}{3}\right)  

a)

2

b)

-2

c)

 233\frac{2\sqrt{3}}{3}  

d)

 −233-\frac{2\sqrt{3}}{3}  

e)

undefined

13.

 tan⁡ (135°)\tan\ \left(135\degree\right)  

a)

1

b)

-1

c)

0

d)

Undefined

14.

Which trig function represents the slope of the line at that angle?

a)

 sin⁡ θ\sin\ \theta  

b)

 cos⁡θ\cos\theta  

c)

 tan⁡θ\tan\theta  

d)

 csc⁡θ\csc\theta  

e)

 cot⁡θ\cot\theta  

15.

 cos⁡ 570°\cos\ 570\degree  

a)

0

b)

 12\frac{1}{2}  

c)

 −12-\frac{1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

e)

 −32-\frac{\sqrt{3}}{2}