Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Question
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Verify the identity.
tan ² x + sec ² x= 1 + 2 tan ² x
Which of the following four statements establishes the identity?
O A.
O B.
C.
O D.
2
tan x + sec
tan ² x + sec
2
tan² x +
2
2
x = tan ²x + (tan ²x - 1) = 1 + 2 tan ² x
²
x = tan ²x + (1 - tan²x) = 1 + 2 tan
sec² x = 1 = 1 + 2 tan ² x
2
² x
2
2
tan² x+ sec² x=tan²x + (1 + tan ²x) = 1 + 2 tan
X
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Transcribed Image Text:Verify the identity. tan ² x + sec ² x= 1 + 2 tan ² x Which of the following four statements establishes the identity? O A. O B. C. O D. 2 tan x + sec tan ² x + sec 2 tan² x + 2 2 x = tan ²x + (tan ²x - 1) = 1 + 2 tan ² x ² x = tan ²x + (1 - tan²x) = 1 + 2 tan sec² x = 1 = 1 + 2 tan ² x 2 ² x 2 2 tan² x+ sec² x=tan²x + (1 + tan ²x) = 1 + 2 tan X
Verify the identity.
x- cos² X
cot²
2
cot x cos X
Which of the following four statements establishes the identity?
O A.
2
cot ²
X- COS X
cot x- cos x
B.
D.
= cot x + cos x
2
cot x
cot x
2
cos X
cos X
2
cot x
2
cos X
cot x- cos X
2
2
cot x cos X
cot x- cos X
cot x + cos x)( cot x + cos x)
=
cot x cos X
=
=
cot x + cos x)(cot x- cos x)
cot x+cos X
2
cot x
cot x
2
COS X
COS X
= cot x + cos X
(cot x + cos x)(cot x- cos x)
cot x cos X
= cot x + cos X
= cot x + cos X
= cot x + cos x
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Transcribed Image Text:Verify the identity. x- cos² X cot² 2 cot x cos X Which of the following four statements establishes the identity? O A. 2 cot ² X- COS X cot x- cos x B. D. = cot x + cos x 2 cot x cot x 2 cos X cos X 2 cot x 2 cos X cot x- cos X 2 2 cot x cos X cot x- cos X cot x + cos x)( cot x + cos x) = cot x cos X = = cot x + cos x)(cot x- cos x) cot x+cos X 2 cot x cot x 2 COS X COS X = cot x + cos X (cot x + cos x)(cot x- cos x) cot x cos X = cot x + cos X = cot x + cos X = cot x + cos x
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