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Fixed formatting (#34461)

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Fixed multi-line expressions to display properly
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Alexander Molnar
2019-03-21 06:15:38 -04:00
committed by The Coding Aviator
parent 1d6bb4f4b3
commit d2278cc4c8
1 changed files with 23 additions and 28 deletions
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guide/english/mathematics/law-of-sines/index.md
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@ -1,16 +1,16 @@
--- ---
title: Law of Sines title: Law of Sines
--- ---
## Law of Sines ## Law of sines
The Law of Sines simply states that: The law of sines states that
```
Sin(A) Sin(B) sin(A) sin(B) sin(C)
------ = ------ ------ = ------ = ------
a b a b c
```
Where "A" and "B" are angle measures, and "a" and "b" are their corresponding side lengths where A, B and C are angles, and a, b and c are their corresponding (opposite) side lengths. This law is used with triangles, when two angles and one side length are known. For example, consider the triangle
This law is used with triangles, when two angles and one side length are known, here is an example: ```
b b
____________ ____________
\ 75/ \ 75/
@ -19,26 +19,21 @@ ____________
\ / \ /
\30/ \30/
\/ \/
```
In this problem, everything is defined except for "b," therefore, we can use the law of sines to find it. For this problem, I will In this (isoceles) triangle, we know everything except for b, the angle opposite B = 30°, therefore, we can use the law of sines to find it. With A = 75 and a = 6, we have
refer to the corresponding angle and side as "A" and "a": ```
sin(A) sin(B) sin(75) sin(30)
Sin(A) Sin(B) Sin(75) Sin(30) ------ = ------ ===> ------- = -------
------ = ------ ===> ------- = -------
a b 6 b a b 6 b
```
For evaluating the Sines, I used a calculator. I can cross multiply the two sides of the equation, which evaluates as: Cross multiplying gives
```
6 * Sin(30) 6 * sin(30)
b = ----------- b = -----------
sin(75) sin(75)
```
which simplifies to, approximately,
Which comes out to <p align='center'>
b &approx; 3.106
b = 3.106 </p>
#### More Information:
<!-- Please add any articles you think might be helpful to read before writing the article -->