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Describe the error(s). (Select all that apply.) (1 + tan x)[1 + cot(-x)] - (1 tan x)(1 cot x) = 1 + cot x + tan x + tan x cot x 1 + cot x + tan x + 1 - 2 + cot x tan x In the first line, cotx is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) = tan x. In the first line, cot x is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) -cot x. In the second line, (1 + tan x)(1 + cot x) is expanded to 1 + cot x + tan x tan x cot x, which is incorrect. The correct expansion is 1 + 2 tan x + 2 cot x. In the third line, tan x cotx is substituted for 1, which is incorrect. The correct substitution is tan x cot x =-1. In the third line, tan x cot x is substituted for 1, which is incorrect. The correct substitution is tan x cotx = sin x.

Describe the error(s). (Select all that apply.) (1 + tan x)[1 + cot(-x)] - (1 tan x)(1 cot x) = 1 + cot x + tan x + tan x cot x 1 + cot x + tan x + 1 - 2 + cot x tan x In the first line, cotx is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) = tan x. In the first line, cot x is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) -cot x. In the second line, (1 + tan x)(1 + cot x) is expanded to 1 + cot x + tan x tan x cot x, which is incorrect. The correct expansion is 1 + 2 tan x + 2 cot x. In the third line, tan x cotx is substituted for 1, which is incorrect. The correct substitution is tan x cot x =-1. In the third line, tan x cot x is substituted for 1, which is incorrect. The correct substitution is tan x cotx = sin x.

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 24E
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Describe the error(s). (Select all that apply.) (1 + tan x)[1 + cot(-x)] - (1 tan x)(1 cot x) = 1 + cot x + tan x + tan x cot x 1 + cot x + tan x + 1 - 2 + cot x tan x In the first line, cotx is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) = tan x. In the first line, cot x is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) -cot x. In the second line, (1 + tan x)(1 + cot x) is expanded to 1 + cot x + tan x tan x cot x, which is incorrect. The correct expansion is 1 + 2 tan x + 2 cot x. In the third line, tan x cotx is substituted for 1, which is incorrect. The correct substitution is tan x cot x =-1. In the third line, tan x cot x is substituted for 1, which is incorrect. The correct substitution is tan x cotx = sin x.
Transcribed Image Text:Describe the error(s). (Select all that apply.) (1 + tan x)[1 + cot(-x)] - (1 tan x)(1 cot x) = 1 + cot x + tan x + tan x cot x 1 + cot x + tan x + 1 - 2 + cot x tan x In the first line, cotx is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) = tan x. In the first line, cot x is substituted for cot(-x), which is incorrect. The correct substitution is cot(-x) -cot x. In the second line, (1 + tan x)(1 + cot x) is expanded to 1 + cot x + tan x tan x cot x, which is incorrect. The correct expansion is 1 + 2 tan x + 2 cot x. In the third line, tan x cotx is substituted for 1, which is incorrect. The correct substitution is tan x cot x =-1. In the third line, tan x cot x is substituted for 1, which is incorrect. The correct substitution is tan x cotx = sin x.
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