ubrey tried to prove that sin(0) = cos(180° – 0) using the following diagram. Her proof is not correct. C A B

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Aubrey tried to prove that sin(0) = cos(180° – 0) using the following diagram. Her proof is not correct.
C
A
В
Statement
Reason
1
mLC = 180° – 0
The interior angle measures in a triangle sum to 180°.
AC
sin(0) :
Definition of sine.
ВС
АС
cos(180° – 0) :
3
Definition of cosine.
-
ВС
4
sin(0) = cos(180° – 0) Substitution
What is the first mistake in Aubrey's proof?
Transcribed Image Text:Aubrey tried to prove that sin(0) = cos(180° – 0) using the following diagram. Her proof is not correct. C A В Statement Reason 1 mLC = 180° – 0 The interior angle measures in a triangle sum to 180°. AC sin(0) : Definition of sine. ВС АС cos(180° – 0) : 3 Definition of cosine. - ВС 4 sin(0) = cos(180° – 0) Substitution What is the first mistake in Aubrey's proof?
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