Unformatted text preview: oblique triangles , that is, triangles which do not have a right angle. There are two types oF oblique triangles: an acute triangle has all acute angles, and an obtuse triangle has one obtuse angle. As we will see, Cases 1 and 2 can be solved using the law of sines , Case 3 can be solved using either the law of cosines or the law of tangents , and Case 4 can be solved using the law oF cosines. 2.1 The Law of Sines Theorem 2.1. Law of Sines: IF a triangle has sides oF lengths a , b , and c opposite the angles A , B , and C , respectively, then a sin A = b sin B = c sin C . (2.1) Note that by taking reciprocals, equation (2.1) can be written as sin A a = sin B b = sin C c , (2.2) and it can also be written as a collection oF three equations: a b = sin A sin B , a c = sin A sin C , b c = sin B sin C (2.3) 38...
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 Fall '11
 Dr.Cheun
 Calculus, Angles, Pythagorean Theorem, Law Of Cosines, Law of sines, triangle, Sines

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