A student was asked to prove the double angle formula for cosine using the sum formula. Their work is shown below. Determine the justification for each line in proof. Line 1: cos(20) = cos¹0 - sine (Given) Line 2: cos(+0) = cos²0-sin²0 Line 3: cose cose - sine sine = cos²0-sin²0 COS Line 4: cos²0-sin²0 = cos²0-sin-²0
A student was asked to prove the double angle formula for cosine using the sum formula. Their work is shown below. Determine the justification for each line in proof. Line 1: cos(20) = cos¹0 - sine (Given) Line 2: cos(+0) = cos²0-sin²0 Line 3: cose cose - sine sine = cos²0-sin²0 COS Line 4: cos²0-sin²0 = cos²0-sin-²0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![A student was asked to prove the double angle formula for cosine using the sum
formula. Their work is shown below. Determine the justification for each line in the
proof.
Line 1: cos(20) = cose - sine (Given)
Line 2: cos( 0 + 0) = cos²0-sin²0
= COS
Line 3: cose cose - sine sine = cos²0-sin'e
Line 4: cos²0-sin²0 = cos²0-sin²0
Previous](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2028c3a-a7f5-4f99-8991-cd149ff6790d%2Ff9b604af-64eb-4e63-939b-27602fe9edad%2Fffvehc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A student was asked to prove the double angle formula for cosine using the sum
formula. Their work is shown below. Determine the justification for each line in the
proof.
Line 1: cos(20) = cose - sine (Given)
Line 2: cos( 0 + 0) = cos²0-sin²0
= COS
Line 3: cose cose - sine sine = cos²0-sin'e
Line 4: cos²0-sin²0 = cos²0-sin²0
Previous
![Apply Double Angle Cosine Formula
Apply Double Angle Sine Formula
Pythagorean Identity
Simplify
Apply Sum Formula for Cosine
139333
TELE
Apply Sum Formula for Sine
CULT
...
Expand Product
Next](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2028c3a-a7f5-4f99-8991-cd149ff6790d%2Ff9b604af-64eb-4e63-939b-27602fe9edad%2F1tq5g3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Apply Double Angle Cosine Formula
Apply Double Angle Sine Formula
Pythagorean Identity
Simplify
Apply Sum Formula for Cosine
139333
TELE
Apply Sum Formula for Sine
CULT
...
Expand Product
Next
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning