Students were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.Student A: step 1 secØ/secØ - cosØ/secØstep 2 cosØ/1 - (1/cosØ)step 3 1 - cos^2Østep 4 sin^2ØStudent B: step 1 (1/cosØ)-cosØ)/secØstep 2 (1 - cos^2Ø/cosØ)/secØstep 3 sin^2Ø/cos^2Østep 4 tan^2ØPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.Part B: Complete the student's solution correctly, beginning with the location of the error.
Students were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.Student A: step 1 secØ/secØ - cosØ/secØstep 2 cosØ/1 - (1/cosØ)step 3 1 - cos^2Østep 4 sin^2ØStudent B: step 1 (1/cosØ)-cosØ)/secØstep 2 (1 - cos^2Ø/cosØ)/secØstep 3 sin^2Ø/cos^2Østep 4 tan^2ØPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.Part B: Complete the student's solution correctly, beginning with the location of the error.
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 24E
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Question
Students were asked to simplify the expression (secØ - cosØ)/secØ Two students' work is given.
Student A:
step 1 secØ/secØ - cosØ/secØ
step 2 cosØ/1 - (1/cosØ)
step 3 1 - cos^2Ø
step 4 sin^2Ø
Student B:
step 1 (1/cosØ)-cosØ)/secØ
step 2 (1 - cos^2Ø/cosØ)/secØ
step 3 sin^2Ø/cos^2Ø
step 4 tan^2Ø
Part A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused.
Part B: Complete the student's solution correctly, beginning with the location of the error.
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