Verify the identity. 2 2 cotx- cos X cot x- cos x Which of the following four statements establishes the identity? O A. O B. O C. = cot x + cos x O D. 2 2 cot X - Cos X cot x- cos X 2 2 cotx- cos X cot x- cos x 2 cotx- cos cot x- cos x 2 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 cot² 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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
100%
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning