Download Name:________________________________ Date:_______ Period:______ Trigonometry Part I: Review Sheet

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 two values of θ such that 0° θ° 360°:
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