Simplify the expression. csc (-x) cos 5 csc (- x) cos -x (Simplify your answer.) 2 II

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.1: Algebraic Expressions
Problem 18E
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Simplify the expression.
csc (-x) cos 5
csc (- x) cos -x
X
2
(Simplify your answer.)
II
Transcribed Image Text:Simplify the expression. csc (-x) cos 5 csc (- x) cos -x X 2 (Simplify your answer.) II
What is wrong with the argument below?
= sec x
A Fundamental identity.
COS X
1
3 sec x = -2 sec x
Subtract 3 sec x from both sides.
cOS X
3
- 3 sec x= - 2 sec x+
2
2
to both sides.
Add
cOS X
COS X
COS X
1
3
cOS X
1
sec x = 2
sec x
Factor.
cOS X
1
Divide both sides by
3 = 2
sec x.
COS X
Identify the error. Choose the correct answer below.
A. The factoring step is applied incorrectly.
B. Both sides of the identity cannot be worked with simultaneously.
C. The initial equation used in this argument is not a Fundamental identity.
D.
Both sides cannot be divided by
1
sec x since this is not defined for all x.
COS X
Transcribed Image Text:What is wrong with the argument below? = sec x A Fundamental identity. COS X 1 3 sec x = -2 sec x Subtract 3 sec x from both sides. cOS X 3 - 3 sec x= - 2 sec x+ 2 2 to both sides. Add cOS X COS X COS X 1 3 cOS X 1 sec x = 2 sec x Factor. cOS X 1 Divide both sides by 3 = 2 sec x. COS X Identify the error. Choose the correct answer below. A. The factoring step is applied incorrectly. B. Both sides of the identity cannot be worked with simultaneously. C. The initial equation used in this argument is not a Fundamental identity. D. Both sides cannot be divided by 1 sec x since this is not defined for all x. COS X
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