Infinite Precalculus Introduction To Trigonometry Test Review pt 1 ©K w2d0b1H6F HKuuXtUaJ ySwoUfItCwOaJrFev cLlLhCe w ` PAYlSlm QrwiDgihetvsM yrpePs[eYrZvRezdk g q GMuaSdTeR SwjistbhK jIfneftiInfiptae[.]
Trang 1Worksheet by Kuta Software LLC
Precalculus
Introduction To Trigonometry Test Review pt.1
Name _
Date Period
© I A 2 A 0 N 1 J 6 ] B K h L t b v S H o f _ w x r R e T ] L \ C F D C x A F l Q l o o r U i g Y h K t H s b B r X e T s \ e ` v E e F d B
-1-Convert each radian measure into degrees.
1) 17p
3
3) -5p
3
4) -7p 6
5) 13p
6
6) p 4
Convert each degree measure into radians.
Find the exact value of each trigonometric function.
13) sin 7p
4
15) cos -4p
3
16) cos 9p
4
17) tan 11p
4
18) tan - p
3
19) csc 5p
2
21) sec 5p
2 23) cot p
24) cot 17p
6
Use identities to find the value of each expression.
25) Find tanq and cotq
if cosq = 1
4 and sinq < 0
26) Find sinq and tanq
if csc q = -8
5 and tanq < 0
27) Find tanq and cotq
if sinq = 1
3 and secq > 0
28) Find tan q and secq
if cos q = 5
7 and sinq < 0
29) Find cosq and cotq
if secq = -3
2 and cscq < 0
30) Find cot q and sinq
if csc q = 3
2 and cosq > 0
In each triangle ABC, angle C is a right angle Find the value of the trig function indicated.
Trang 2Worksheet by Kuta Software LLC
In each problem, angle C is a right angle Solve each triangle rounding answers to the nearest
tenth.
Use the given point on the terminal side of angle q to find the value of the trigonometric
function indicated.
Find the amplitude and the period in radians Then sketch the graph using radians.
51) y = sin(4q - p
53) y = 4sin(3q + p
4
+ p
4)
55) y = 1
2 × cos(4q - 3p
4
+ 5p
6 )
57) y = 3cos(3q + p
2)
Graph each function using radians.
Find the exact value of each expression.
65) sin-10
2 67) sin-1-1
68) cos-1 1
2
69) csc tan-1 1
5
70) cos-1(sec 0)
71) tan-1(sec p)
72) cos-1(cot p
4)
29
74) sin-1(csc p
2)
Trang 3Worksheet by Kuta Software LLC
-3-Answers to Introduction To Trigonometry Test Review pt.1
7) 7p 6
8) -p 4
6
36
12
12) 11p 18
2
15) -1
2
3
20) 1
5
29) -2
2 and 2
3
31) 5
26 33) 12
4 37) m B = 45°, b = 2, c = 2.8 38) m A = 34.5°, m B = 55.5°, c = 19.4
39) 1
8
41) -9
7 43) -3
13
19
3 47) -3
2
48) 4
11 51)
p
2
p 3p 2 2p
-6
-4
-2
2
4
6
Amplitude: 1 Period: p 2
52)
p 2
p 3p 2 2p
-6 -4 -2
2 4 6
Amplitude: 4 Period: 2p 3
53)
p
2
p 3p 2 2p
-6
-4
-2
2
4
6
Amplitude: 4 Period: 2p 3
54)
2p 4p 6p 8p 10p 12p
-6 -4 -2
2 4 6
Amplitude: 2 Period: 8p
Trang 4Worksheet by Kuta Software LLC
-4-55)
p
2
p 3p 2 2p
-6
-4
-2
2
4
6
Amplitude: 1
2 Period: p 2
56)
2p 4p 6p 8p 10p 12p
-6 -4 -2
2 4 6
Amplitude: 3 Period: 8p
57)
p
2
p 3p 2 2p
-6
-4
-2
2
4
6
Amplitude: 3 Period: 2p 3
58)
p 2
p 3p 2 2p
-6 -4 -2
2 4 6
Amplitude: 3 Period: p 2
59)
p
2
p 3p 2 2p
-6
-4
-2
2
4
6
60)
p 2p 3p
-6 -4 -2
2 4 6
61)
p 2p 3p
-6 -4 -2
2 4 6
62)
p
2
p 3p 2 2p
-6
-4
-2
2
4
3
64) 0
65) 0
66) 5p
3
71) -p 4
72) 0
2
74) p 2