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. 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
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°.
Related questions
Question
100%

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

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

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images

Recommended textbooks for you

Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON

Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning


Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON

Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning


Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning