Trigonometry 10th Edition Larson Solutions Manual

Trigonometry 10th Edition Larson
Solutions Manual

, CH APT ER 2
Analytic Trigonometry

Section 2.1 Using Fundamental Identities ...................................................... 213

Section 2.2 Verifying Trigonometric Identities .............................................. 221

Section 2.3 Solving Trigonometric Equations ................................................ 227

Section 2.4 Sum and Difference Formulas ..................................................... 242

Section 2.5 Multiple-Angle and Product-to-Sum Formulas ........................... 258

Review Exercises................................................................................................ 270

Problem Solving ................................................................................................. 281

Practice Test ....................................................................................................... 288

,C H A P T E R 2
Analytic Trigonometry
Section 2.1 Using Fundamental Identities
1. tan u 3
9. sin  = − , cos   0   is in Quadrant IV.
4
2. csc u
7
 3 2 1−
9
cos  = 1 −  −  =
3. cot u  4 16 =
4
4. csc u 3
−
tan  4 = − 3 = −3 7
sin  =
= 7
cos  7 7
5. 1
4
1
6. − sin u sec  = = 1 = 4 = 4 7
cos  7 7 7
5
7. sec x = − , tan x  0  x is in Quadrant II. 4

1 1 7
2 cot  = = = −
1 1 2 tan  −
3 3

cos x = = = − 7
sec x 5 5
− csc  = 1 1 4
2 = = −
sin  −
3 3
sin x =  2 2 4 21
1 − −  = 1− = 4
 5 25 5
2
10. cos  = , sin   0   is in Quadrant IV.
21 3
sin x 5 = − 21
tan x = cos x =
2 2
 2 2 4 5
− sin  = − 1 −   = − 1 − = −
5  3 9 3
1
csc x = 5 = 5 21 5
= −
21 sin  = 2 = − 5
sin x 21 tan  =
1 2 cos  2 2
2 21
cot x = = − = − 3
tan x 21 21 1 1 3

sec  = = =
7 cos  2 2
8. csc x = − , tan x  0  x is in Quadrant III. 3
6 1 = 1 2
=
1 1 6 cot  tan  5 = − = −2 5
5 5
sin x = = = − −
csc x 7 7
−6 2
1 3
csc  = = 1 = − = −3 5
 6 2 36 13 sin  5 5 5
cos x = − 1 − −  = − 1 − = − −
 7 49 7 3
6
−
sin x cos x 7 = =
tan x = = −13
© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 213

, 13 6
7 1
3
1
3
1 1 7 13
sec x = = = − = −
cos x 13 13 13
−
7
1 1 13
cot x = = =
tan x 6 6
13




© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 213