Verify the following identity. 1+ cos 2x cotx%D sin 2x

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

Verify the following the identity.

11
Homework: Section 20.3 Double Angle Formulas
Verify the following identity.
1+ cos 2x
cotx%D
sin 2x
Which of the following three statements verifies the given equation?
1+cos 2x
1+ (2 cos x-1)
2.
-X_SO
2.
2 cos,
X SO
2 sin x cos X
sin 2x
2 sin x coSX
2.
1+ (2 cos²x+1)
リ)
2.
X SOJ
1+cos 2x
sin 2x
2 sin x coSX
1+ cos 2x
2.
1+ (2 sin x-1
2.
= cotx
sin 2x
乙
2 sin x cos
2sin x cos X
Transcribed Image Text:11 Homework: Section 20.3 Double Angle Formulas Verify the following identity. 1+ cos 2x cotx%D sin 2x Which of the following three statements verifies the given equation? 1+cos 2x 1+ (2 cos x-1) 2. -X_SO 2. 2 cos, X SO 2 sin x cos X sin 2x 2 sin x coSX 2. 1+ (2 cos²x+1) リ) 2. X SOJ 1+cos 2x sin 2x 2 sin x coSX 1+ cos 2x 2. 1+ (2 sin x-1 2. = cotx sin 2x 乙 2 sin x cos 2sin x cos X
Expert Solution
Step 1

Recall:

  • sin2x = 2 sinx cosx
  • cos2x = 2cos2x -1
  • cotx = cosxsinx
steps

Step by step

Solved in 2 steps with 1 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