Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.а %3D 32,C = 45,= 38°Step 1The Law of Sines says that in triangle ABC, you havesin(A)sin(B)sin CC).%3DaaCStep 2To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use theLaw of Sines.Set up and solve the relation for C, using a, c, and A.sin(C)sin38%3D453245(sin(38sin(C)%3D32This gives rise to two possible values for C. Round your answers to one decimal place.C1 =(smaller value)C2 =(larger value)SubmitSkip (you cannot come back)

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Math

Calculus

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 32, C = 45, LA = 38°

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 3T

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Question

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.
а %3D 32,
C = 45,
= 38°
Step 1
The Law of Sines says that in triangle ABC, you have
sin(A)
sin(B)
sin C
C).
%3D
a
a
C
Step 2
To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the
Law of Sines.
Set up and solve the relation for C, using a, c, and A.
sin(C)
sin
38
%3D
45
32
45(sin(
38
sin(C)
%3D
32
This gives rise to two possible values for C. Round your answers to one decimal place.
C1 =
(smaller value)
C2 =
(larger value)
Submit
Skip (you cannot come back)

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