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REFER TO THE IMAGE PROVIDED FOR THE STUDENTS WORK!! Part A: Did either student verify the identity properly? Explain why or why not. Part B: Name two identities that were used in Student A's verification and the steps they appear in.

REFER TO THE IMAGE PROVIDED FOR THE STUDENTS WORK!! Part A: Did either student verify the identity properly? Explain why or why not. Part B: Name two identities that were used in Student A's verification and the steps they appear in.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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REFER TO THE IMAGE PROVIDED FOR THE STUDENTS WORK!!

Part A: Did either student verify the identity properly? Explain why or why not.

Part B: Name two identities that were used in Student A's verification and the steps they appear in. 

Students were asked to prove the identity (tan x)(sin x) = sec x - cos x. Two students' work is given Student A Step 1: Step 2: sin x COS X Step 4: AN sin² x COS X 1 COS X sin x = sec x - cos x Step 3: 1-cos²x COS X =secx-COS X = sec x-COS X cos² x X COS X Student B Step 5: sec x - cos x = sec x - cos x X Step 1: tanxsin x = Step 2: tan xsin x = Step 3: tanxsin x = = secx - cos x Step 4: tan x sinx- X = Step 5: tan x sin x = 1 COS X 1 COS X sin² x COS X COS X 1-cos²x COS X sin x COS X cos² x COS X sin x Step 6: tan x sin x = tan x sin x
Transcribed Image Text:Students were asked to prove the identity (tan x)(sin x) = sec x - cos x. Two students' work is given Student A Step 1: Step 2: sin x COS X Step 4: AN sin² x COS X 1 COS X sin x = sec x - cos x Step 3: 1-cos²x COS X =secx-COS X = sec x-COS X cos² x X COS X Student B Step 5: sec x - cos x = sec x - cos x X Step 1: tanxsin x = Step 2: tan xsin x = Step 3: tanxsin x = = secx - cos x Step 4: tan x sinx- X = Step 5: tan x sin x = 1 COS X 1 COS X sin² x COS X COS X 1-cos²x COS X sin x COS X cos² x COS X sin x Step 6: tan x sin x = tan x sin x
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