Download Chapter 17-1/17

ID: 1
Algebra 2
Name___________________________________
Chapter 17-1/17-2 Review
Date________________ Period____
©b H2s0X114C sK0ujtZa4 3S3oNfgt1wsaArye6 TLhLrCY.Y l YAIlYly srTiiglh7tmsY NrweCsPeUrGvkeod3.a
Find the value of the trig function indicated.
1) tan θ
2) sin θ
11
7
2
11
7
θ
7
θ
2
11
1
2
2
3) sec θ
4) cos θ
3
θ
22
2 21
3
3 2
20
θ
21
11
2
5) Find csc θ if cos θ =
12
13
6) Find cos θ if tan θ =
13
5
4
3
3
5
7) Find sec θ if csc θ =
17
15
8) Find tan θ if sin θ =
17
8
2 5
5
2
Find the missing side lengths. Leave your answers as radicals in simplest form.
9)
10)
v
30°
4
60°
u
a
4 3
u = 8, v = 4
b
a = 2 3, b = 2
©W 52V0V1r4t zKjuGt8ai qSdorf6tPw7aDrGeJ HLFLzCw.M a 5AIlmlC Krgi5g3hUtdst grbeTs1eKrAvkeadd.V C zMraYdFek BwwiTt3hG uIXnRfsimnkigtreH oA6lFgreSbOrsay N2L.t
-1-
Worksheet by Kuta Software LLC
11)
12)
45°
3
v
y
x
60°
7
u
x=
3 2
3 2
u=
, v=
2
2
13)
14 3
7 3
, y=
3
3
14)
45°
30°
x
u
v
y
6
3 5
u = 6 2, v = 6
x = 6 5, y = 3 15
State the quadrant in which the terminal side of each angle lies.
15) 150°
16) −300°
II
I
17) −170°
18) −443°
III
IV
Find the measure of each angle.
19)
20)
y
y
x
25°
x
45°
−765°
©H o220Z1047 ZKguTtRaR QSDodfztswDaArkej qLxLdCH.5 f hAJl7lF orOikgnhJtAsj GrTe6sweTrzvIendh.D A GMCaXdgeB vw6imtXhw cIXnLfBi9nGi6treI iAglTgCeEblrfa5 Q2l.a
−385°
-2-
Worksheet by Kuta Software LLC
21)
22)
y
y
75°
x
x
125°
165°
595°
Draw an angle with the given measure in standard position.
23) −100°
24) −255°
y
y
x
25) 615°
x
26) 405°
y
y
x
©K s2V0R1y4F 0KguZt1aa xSio9fat3w1asrCeU 5LvLeC9.z m JAqlwlY 2rZicglhatzsq 8rOeesFeurxvreedW.U p oM1aQdteV CwPiVtVhi YIKnyfciAnsivtHe4 QAslMgresbFreag H2D.u
x
-3-
Worksheet by Kuta Software LLC
Find the reference angle.
28) −130°
27) 280°
80°
50°
29) 160°
30) −500°
20°
40°
Find the exact value of each trigonometric function.
31) sec θ
32) cos θ
y
y
600°
870°
x
x
−2
3
−
2
33) cos θ
34) csc θ
y
y
−780°
−810°
x
x
0
©H 92X0Y1F4E iKouctPa8 lScoRfntGwjalrweL dLALXCC.m w kAqlsl8 eroiTgQh9tzsQ frneDsHetrRvvetdK.8 Y 6MZahdSe3 zwQiEtfh8 dIqn8foibnFivt8eF PA1lXgMexbgrzaB Y2d.J
−
-4-
2 3
3
Worksheet by Kuta Software LLC
35) sec θ
36) sec θ
y
−300°
y
270°
x
x
Undefined
2
Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated.
37) tan θ
38) sin θ
y
y
(
13 , 6)
x
x
(6, −17)
−
6
7
17
6
39) csc θ
40) cos θ
y
y
(3, 4)
x
x
(12, −6)
5
4
©y A200j1E4E WKQu0tPaS vSbolf8tXwHaPr8eJ wLpLMCJ.8 N 1Aql3le Mrqikg0hhtQsh orCeksQe2rFvxemdq.M D xMka6dUer fwZiXtEhw IIpnKfSiSnOidt9eK 8AXlzgHeLbMrEac A27.b
2 5
5
-5-
Worksheet by Kuta Software LLC