EXPLORATION 1. Discovering the Law of SinesWork with a partner.b. Use dynamic geometry software to draw two other triangles. Copy and complete the table in part (a) for eachtriangle. Use your results to write a conjecture about the relationship between the sines of the angles and thelengths of the sides of a triangle.a. Copy and complete the table for the triangle shown. What can you conclude?SampleSegmentsa = 3.163-b = 6.32c = 5.10AnglesmLA = 29.74°a1-mZB = 97.13°m2C = 53.13°sin Asin Bsin CmZAamZBa

Use a graphing utility to compute the sine of the angles . Calculate the sine of the angles and…

Copy and complete the table for the triangle shown. What can you conclude? Sample Segments 4- a = 3.16 3 b = 6.32 c = 5.10 Angles mZA = 29.74° %3D 11 B. mZB = 97.13° m2C = 53.13° sin A sin B sin C mZA m/B m2C a b

Copy and complete the table for the triangle shown. What can you conclude? Sample Segments 4- a = 3.16 3 b = 6.32 c = 5.10 Angles mZA = 29.74° %3D 11 B. mZB = 97.13° m2C = 53.13° sin A sin B sin C mZA m/B m2C a b

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

EXPLORATION 1. Discovering the Law of Sines
Work with a partner.
b. Use dynamic geometry software to draw two other triangles. Copy and complete the table in part (a) for each
triangle. Use your results to write a conjecture about the relationship between the sines of the angles and the
lengths of the sides of a triangle.
a. Copy and complete the table for the triangle shown. What can you conclude?
Sample
Segments
a = 3.16
3-
b = 6.32
c = 5.10
Angles
mLA = 29.74°
a
1-
mZB = 97.13°
m2C = 53.13°
sin A
sin B
sin C
mZA
a
mZB
a

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