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sin rule for triangles and solving trignometric functions

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See the attached file.
Solve the triangle. Round lengths to the nearest tenth and degrees.

1. B = 43, C = 107, B = 14
2. C = 110, a = 5, b = 11
3. B = 54, C = 112, b = 35

Find the solution

2 cos(theta) + 1 = 0.

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Solution Summary

In this solution file, the 'sin rule for triangles' is used to solve for unknown lengths and angles of three given triangles. The trigonometric function, 2 cos(theta) + 1 = 0 is also solved.

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Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here.
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A = 29.9 a = 10.2
B = 43 b = 14
C = 107 c = 19.6
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a/sin A = b/sinB=c/sin C
a/sin A = 14/sin43=c/sin 107

c = 14/sin43 * sin ...

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