Fill in the blanks using the lengths a, b, c, and h to derive the Law of Sines. Make sure to use the appropriate upper-case or lower-case letters. Part 1: Use trigonometry to fill in the blanks. sin B and sin C %3D Part 2: Rewrite the equations from Part 1. h - sin B and h =|: sin C Part 3: Use the equations from Part 2 to write an equation relating sin B and sinC. - sin B =: sin C Part 4: Rewrite the equation from Part 3. sin B sin C

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 8E
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Fill in the blanks using the lengths a, b, c, and h to derive the Law of Sines.
Make sure to use the appropriate upper-case or lower-case letters.
Part 1:
Use trigonometry to fill in the blanks.
C
sin B =
and sinC
Part 2: Rewrite the equations from Part 1.
- sin B and h =||- sin C
Part 3: Use the equations from Part 2 to write an
equation relating sin B and sin C.
- sin B -
sin C
Part 4: Rewrite the equation from Part 3.
sin B
sin C
O2021 McGraw-Hill Education. All R
P Type here to search
F9
F10
F7
F8
F6
Transcribed Image Text:Fill in the blanks using the lengths a, b, c, and h to derive the Law of Sines. Make sure to use the appropriate upper-case or lower-case letters. Part 1: Use trigonometry to fill in the blanks. C sin B = and sinC Part 2: Rewrite the equations from Part 1. - sin B and h =||- sin C Part 3: Use the equations from Part 2 to write an equation relating sin B and sin C. - sin B - sin C Part 4: Rewrite the equation from Part 3. sin B sin C O2021 McGraw-Hill Education. All R P Type here to search F9 F10 F7 F8 F6
Expert Solution
Step 1

Consider the right angle triangles in the triangle ABC. Assume the length AD be the height h.

Calculus homework question answer, step 1, image 1

Thus, the triangle ABC is formed by the right triangles ACD and ADB. 

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