5) 2/3cos Osin 0- cos 0 = 2cos 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 42E
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Solve question 5
Trig Equations w/ Factoring+ Fundamental Identities Date
Period
Solve each equation for 0< 0 < 2n.
1) 1- 2tan? O =-tan? 0
1-2 tano+ tan?@=0
2 tano =0
(1+tan0)(1- tano!= 0
+ano :0 + tano=-→D=arctan(-1)= -
tano o
2) 4sin? 0 +4 = 5
3) 3csc2 0 = 1 + 2csc2 0
4) sec2 0-6=-4
5) 2V3 cos esin e- cos 0 = 2cos 0
6) tan Osin 0 – 4tan 0 = -3tan 0
7) V2cot 0 - 3sec 0 = cot Osec 0- 3sec 0
8) V3 sec 0 + sec Ocot 0 =0
9) sin? 0 = sin 0+1- sin? 0
10) 3sin 0+2sin? 0 =-1
11) cos? 0 = 2+ 2sin 0
12) sin? 0 +2 - cos? 0 = 3sin 0
13) -cos 0+ sin 0 = 1
14) 3sin e = V3 sin e + 3cos 0 + 3sin 0
30
Sino-coso
Sin 0 +cos?0= 1
Cos ?0= 1-S)
Cos 0: J-Snzo
35ino - 35in0 -J3 sino =
-J35in0: 3cos の
Transcribed Image Text:Trig Equations w/ Factoring+ Fundamental Identities Date Period Solve each equation for 0< 0 < 2n. 1) 1- 2tan? O =-tan? 0 1-2 tano+ tan?@=0 2 tano =0 (1+tan0)(1- tano!= 0 +ano :0 + tano=-→D=arctan(-1)= - tano o 2) 4sin? 0 +4 = 5 3) 3csc2 0 = 1 + 2csc2 0 4) sec2 0-6=-4 5) 2V3 cos esin e- cos 0 = 2cos 0 6) tan Osin 0 – 4tan 0 = -3tan 0 7) V2cot 0 - 3sec 0 = cot Osec 0- 3sec 0 8) V3 sec 0 + sec Ocot 0 =0 9) sin? 0 = sin 0+1- sin? 0 10) 3sin 0+2sin? 0 =-1 11) cos? 0 = 2+ 2sin 0 12) sin? 0 +2 - cos? 0 = 3sin 0 13) -cos 0+ sin 0 = 1 14) 3sin e = V3 sin e + 3cos 0 + 3sin 0 30 Sino-coso Sin 0 +cos?0= 1 Cos ?0= 1-S) Cos 0: J-Snzo 35ino - 35in0 -J3 sino = -J35in0: 3cos の
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