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Name:________________________________
Trigonometry Part I: Review Sheet
Date:_______ Period:______
Trigonometry Part 1: Review Sheet
Answer all questions on a separate sheet of paper. Show all work where necessary.
Find the smallest positive angle that is coterminal with each angle.
1) -40°
2) 390°
3) 800°
4) -400°
5) -120°
Find the exact value of each function:
7) sin 120°
8) cos 300° 9) sin 315°
10) tan(-60°)
6) 420°
11) cos 90° + tan 225°
12) (tan 30°)2
Find the exact value of each expression:
13) sec300
14) csc225
17)  sec150 cos150  
16) csc(210)
15) cot270
18)  tan300 cot300  
19) cot315°
20) sec180°
Write the expression as a function of an acute angle whose measure is less than 45°:
21) sin 65°
22) cot 300°
23) csc 75°
24) tan 110°
25) sec 47°
26) cos 120°
27) sec 160°
28) sin 350°
Express each function as a function of positive acute angle:
29) sin 320°
30) tan (-50°)
31) cos 200°
32) tan (-140°)
33) sin 400°
34) sec 350°
35) csc 420°
36) cot 345°
Determine the quadrant in which x lies if
37) sin x > 0 and cot x < 0
38) csc x < 0 and cot x < 0
39) sec x > 0 and sin x < 0
40) cos x > 0 and csc x > 0
Solve each equation for x:
41) sin x = cos (4x + 20)
41) sec (2x - 2) = csc (x - 7)
Find the value of θ such to the nearest tenth of a degree
43) sin θ = .8913
44) cos θ = -0.6732
Find the following:
46) If tan θ =
2 3
and sec θ < 0, find the csc θ
5
47) If cosθ = -3/5 and tanθ < 0, find the secθ.
48) 
If tan  = 0.1988, find  to the nearest minute.
49) Find the value of sin 6523’ to four decimal places.
42) cot (x – 4) = tan (x + 6)
45) tan θ = .5621
Answer Key:
1.) 320o
2.) 30o
3.) 80o
4.) 320o
5.) 240o
6.) 60o
7.)
8.)
9.)
10.)
11.) 1
12.)
13.)
14.)
15.) 0
16.) 2
17.) 1
18.) 1
19.) -1
20.) -1
21.) cos25o
22.) –tan30o
23.) sec15o
24.) –cot20o
25.) csc43o
26.) –sin30o
27.) –sec20o
28.) –sin10o
29.) –sin40o
30.) –tan50o
31.) –cos20o
32.) tan40o
33.) sin40o
34.) sec10o
35.) csc60o
36.) –cot15o
37.) QII
38.) QIV
39.) QII
40.) QI
41.) 14
41.) 33
42.) 44
43.) 63.0o
44.) 132.3o
45.) 29.3o
46.)
47.)
48.) 11o15’
49.) 0.9091
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