View source for Guide to Game Development/Theory/Mathematics/Trigonometry/Trigonometry used with non-right angles

[[File:Triangle ABC.png|thumb|centre|300px|An example of a triangle with sides a, b and c and with angles A, B and C.]]<br/>

For non-right-angled triangles, there are two rules that you can use:

{{Dbox|Sine Rule|<br/>
For finding sides:<br/>
<math>\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}</math><br/><br/>
Rearranged for finding angles:<br/>
<math>\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}</math>
}}
{{Dbox|Cosine Rule|<br/>
For finding sides:<br/>
<math>a^2 = b^2+c^2-2bc\cos(A)</math><br/>
<math>b^2 = a^2+c^2-2ac\cos(B)</math><br/>
<math>c^2 = a^2+b^2-2ab\cos(C)</math><br/><br/>
Rearranged for finding angles:<br/>
<math>\cos(A) = \frac{b^2+c^2-a^2}{2bc}</math><br/><br/>
<math>\cos(B) = \frac{a^2+c^2-b^2}{2ac}</math><br/><br/>
<math>\cos(C) = \frac{a^2+b^2-c^2}{2ab}</math>
}}

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