n() using the following diagram. His proof is not correct. C Statement Reason 1 mZB = 0 The acute angles in a right triangle are congruent. AB 2 sin(@) Definition of sine. %3D BC АВ 3 cos(m/B) Definition of cosine. BC AB 4 cos(@) = BC Substitution. 5 cos(8) = sin(0) Substitution

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Relate ratios in right triangles
1
mZB 6
The acute angles in a right triangle are congruent.
AB
2 sin(0)
Definition of sine.
BC
АВ
3 cos(m/B) =
BC
АВ
cos(0) =
BC
Definition of cosine.
4
Substitution.
cos(8) = sin(0)
Substitution
What is the first mistake in Noah's proof?
Choose 1 answer:
Angles ZB and ZC are complementary, not congruent.
Noah used the wrong sides in his ratio for sin(0).
Noah used the wrong sides in his ratio for cos(0).
Noah substituted a value that wasn't equivalent to the one he replaced.
Stuck? Watch a video or use a hint.
ne, anywhere.
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Transcribed Image Text:Relate ratios in right triangles 1 mZB 6 The acute angles in a right triangle are congruent. AB 2 sin(0) Definition of sine. BC АВ 3 cos(m/B) = BC АВ cos(0) = BC Definition of cosine. 4 Substitution. cos(8) = sin(0) Substitution What is the first mistake in Noah's proof? Choose 1 answer: Angles ZB and ZC are complementary, not congruent. Noah used the wrong sides in his ratio for sin(0). Noah used the wrong sides in his ratio for cos(0). Noah substituted a value that wasn't equivalent to the one he replaced. Stuck? Watch a video or use a hint. ne, anywhere. Impact Support community
Relate ratios in right triangles
Noah tried to prove that cos (0)= sin(0) using the following diagram. His proof s not correct.
A
Statement
Reason
mZB = 0
The acute angles in a right triangle are congruent.
AB
2 sin(@):
Definition of sine.
BC
AB
3 cos(m/B)
Definition of cosine.
!!
BC
AB
cos(4)
Substitution.
%3D
BC
cos(8) = sin(0)
Substitution
Transcribed Image Text:Relate ratios in right triangles Noah tried to prove that cos (0)= sin(0) using the following diagram. His proof s not correct. A Statement Reason mZB = 0 The acute angles in a right triangle are congruent. AB 2 sin(@): Definition of sine. BC AB 3 cos(m/B) Definition of cosine. !! BC AB cos(4) Substitution. %3D BC cos(8) = sin(0) Substitution
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