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...
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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
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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
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
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