Verify each identity. 1-cos? 0 1. sin@sec0 %3D sinecose

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Four of the following will be on the quiz:
Verify each identity.
1. sin@sec0 =
1-cos² 0
sinecose
sin² 0-cos² e
2.
sin* 0-cos* e
= 1
3. sec2 0 (1 – cos² 0) = tan? 0
sin 0-cos 0
4.
= 1 – cot 0
sin e
5. (1 – cos² 0)(1 + cos² 0) = 2 sin² 0 – sin* 0
6. tan2 xsin²x =
tan? x – sin² x
sece+tan0
7. tanOsec0
cos0+cot0
8. 1+ cot4 0 = csc* 0 – 2 cot? e
csce
9. cot0 =
sece
10. sec? 0 = 1+ sin? 0 sec2 0
Two of the following will be on the quiz:
Rewrite each expression in terms of cosine & simplify.
2(csc2 0-cot2 0)
1.
sece
sin2 x+2 cos?x
2.
sec2 x-tan2 x
cosx-cos² x
3.
sin? x
4. sin? 0 cot? 0 sec 0
5. sin@cote
Transcribed Image Text:Four of the following will be on the quiz: Verify each identity. 1. sin@sec0 = 1-cos² 0 sinecose sin² 0-cos² e 2. sin* 0-cos* e = 1 3. sec2 0 (1 – cos² 0) = tan? 0 sin 0-cos 0 4. = 1 – cot 0 sin e 5. (1 – cos² 0)(1 + cos² 0) = 2 sin² 0 – sin* 0 6. tan2 xsin²x = tan? x – sin² x sece+tan0 7. tanOsec0 cos0+cot0 8. 1+ cot4 0 = csc* 0 – 2 cot? e csce 9. cot0 = sece 10. sec? 0 = 1+ sin? 0 sec2 0 Two of the following will be on the quiz: Rewrite each expression in terms of cosine & simplify. 2(csc2 0-cot2 0) 1. sece sin2 x+2 cos?x 2. sec2 x-tan2 x cosx-cos² x 3. sin? x 4. sin? 0 cot? 0 sec 0 5. sin@cote
Two of the following will be on the quiz:
Express the following expression in terms of sine AND cosine & simplifi
1. sin e csc e - cos²0
2.
tan x + cot x
3. (sec0 – 1)(sec0 + 1)
4. sec x + csc x
5. cot2x + csc² x
Transcribed Image Text:Two of the following will be on the quiz: Express the following expression in terms of sine AND cosine & simplifi 1. sin e csc e - cos²0 2. tan x + cot x 3. (sec0 – 1)(sec0 + 1) 4. sec x + csc x 5. cot2x + csc² x
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