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Ch 7 Quiz review

Total questions: 35

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Convert 255º into radians

a)

17π12\frac{17\pi}{12}

b)

π180°\frac{\pi}{180\degree}

c)

5π12\frac{5\pi}{12}

2.

Convert -590º into radians

a)

59π18\frac{-59\pi}{18}

b)

23π18-\frac{23\pi}{18}

c)

5π18\frac{-5\pi}{18}

3.

Covert

 7π3\frac{7\pi}{3}  into degrees

a)

420º

b)

60º

c)

280º

4.

Convert

 5π6\frac{5\pi}{6}  into degrees

a)

150º

b)

210º

c)

30º

5.

Find two co-terminal angles (one positive and one negative) for -255º

a)

105º and -615º

b)

-105º and 255º

c)

105º and 465º

6.

Find two co-terminal angles (one positive and one negative) for

 7π6\frac{7\pi}{6}  

a)

 5π6 and 19π6\frac{-5\pi}{6}\ and\ \frac{19\pi}{6}  

b)

 5π6 and π6\frac{-5\pi}{6}\ and\ \frac{\pi}{6}  

c)

 19π6 and 31π6\frac{19\pi}{6}\ and\ \frac{31\pi}{6}  

7.

Identify the quadrant in which  3π4\frac{-3\pi}{4}   lies

a)

I

b)

II

c)

III

d)

IV

8.

Identify the quadrant in which  175º175º   lies

a)

I

b)

II

c)

III

d)

IV

9.

Identify the quadrant in which  400º400º   lies

a)

I

b)

II

c)

III

d)

IV

10.

Find sin and cos of the angle given

4 lines
11.

Find sin and cos of the given angle

4 lines
12.

Find sin and cos of the given angle

4 lines
13.

Determine if sin(5π)\sin\left(5\pi\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

14.

Determine if tan(237°)\tan\left(237\degree\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

15.

Determine if cos(π2)\cos\left(\frac{\pi}{2}\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

16.

Determine if sin(270°)\sin\left(270\degree\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

17.

Determine if cos(3π4)\cos\left(\frac{3\pi}{4}\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

18.

Determine if tan(4π3)\tan\left(\frac{-4\pi}{3}\right) is positive, negative, or zero.

a)

Positive

b)

Negative

c)

Zero

19.

Evaluate (give an exact answer) for: tan(2π)\tan\left(2\pi\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

 3\sqrt{3}  

20.

Evaluate (give an exact answer) for: cos(35π6)\cos\left(\frac{-35\pi}{6}\right)  


leave answers in simplified radical form, no decimals!!

a)

 32\frac{-\sqrt{3}}{2}  

b)

 12\frac{1}{2}  

c)

 12\frac{-1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

21.

Evaluate (give an exact answer) for: sin(675º)\sin\left(675º\right)  


leave answers in simplified radical form, no decimals!!

a)

 22\frac{-\sqrt{2}}{2}  

b)

 12\frac{1}{2}  

c)

 12\frac{-1}{2}  

d)

 22\frac{\sqrt{2}}{2}  

22.

Evaluate (give an exact answer) for: cos(0°)\cos\left(0\degree\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

 12\frac{1}{2}  

23.

Evaluate (give an exact answer) for: sin(π)\sin\left(\pi\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

undefined

24.

Evaluate (give an exact answer) for: sin(840°)\sin\left(-840\degree\right)  


leave answers in simplified radical form, no decimals!!

a)

 32\frac{-\sqrt{3}}{2}  

b)

 12\frac{1}{2}  

c)

 12\frac{-1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

25.

Evaluate (give an exact answer) for: tan(π2)\tan\left(\frac{-\pi}{2}\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

undefined

26.

Evaluate (give an exact answer) for: sin(8π3)\sin\left(\frac{8\pi}{3}\right)  


leave answers in simplified radical form, no decimals!!

a)

 32\frac{-\sqrt{3}}{2}  

b)

 12\frac{1}{2}  

c)

 12\frac{-1}{2}  

d)

 32\frac{\sqrt{3}}{2}  

27.

Evaluate (give an exact answer) for: cos(3π2)\cos\left(\frac{-3\pi}{2}\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

undefined

28.

Evaluate (give an exact answer) for: tan(315°)\tan\left(315\degree\right)  


leave answers in simplified radical form, no decimals!!

a)

 33\frac{-\sqrt{3}}{3}  

b)

1

c)

-1

d)

 3\sqrt{3}  

29.

Evaluate (give an exact answer) for: sin(π4)\sin\left(\frac{-\pi}{4}\right)  


leave answers in simplified radical form, no decimals!!

a)

 22\frac{\sqrt{2}}{2}  

b)

 22\frac{-\sqrt{2}}{2}  

c)

 12\frac{-1}{2}  

d)

 22  

30.

Evaluate (give an exact answer) for: tan(120°)\tan\left(120\degree\right)  


leave answers in simplified radical form, no decimals!!

a)

 31\frac{\sqrt{3}}{1}  

b)

 33\frac{-\sqrt{3}}{3}  

c)

 1-1  

d)

 3-\sqrt{3}  

31.

Evaluate (give an exact answer) for: cos(9π4)\cos\left(\frac{9\pi}{4}\right)  


leave answers in simplified radical form, no decimals!!

a)

 22\frac{\sqrt{2}}{2}  

b)

 22\frac{-\sqrt{2}}{2}  

c)

 12\frac{-1}{2}  

d)

 22  

32.

Evaluate (give an exact answer) for: tan(7π6)\tan\left(\frac{7\pi}{6}\right)  


leave answers in simplified radical form, no decimals!!

a)

 33\frac{\sqrt{3}}{3}  

b)

 32\frac{-\sqrt{3}}{2}  

c)

 1-1  

d)

 3-\sqrt{3}  

33.

Evaluate (give an exact answer) for: cos(4π)\cos\left(-4\pi\right)  


leave answers in simplified radical form, no decimals!!

a)

1

b)

-1

c)

0

d)

undefined

34.

Evaluate (give an exact answer) for: sin(10π3)\sin\left(\frac{10\pi}{3}\right)  


leave answers in simplified radical form, no decimals!!

a)

 32\frac{-\sqrt{3}}{2}  

b)

 12\frac{-1}{2}  

c)

 22\frac{-\sqrt{2}}{2}  

d)

 3\sqrt{3}  

35.

Evaluate (give an exact answer) for: cos(7π4)\cos\left(\frac{7\pi}{4}\right)  


leave answers in simplified radical form, no decimals!!

a)

 22\frac{\sqrt{2}}{2}  

b)

 12\frac{-1}{2}  

c)

 22\frac{-\sqrt{2}}{2}  

d)

 11