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In the last lesson we used the Law of Cosines to find the length of the third side of a triangle when you know the length of two sides and the angle in between. This law can also be used to find the measure of an angle when the three sides of a triangle are given. To use the Law of Cosines to find an unknown angle: 1. Identify c as the side across from the angle you are trying to find. 2. Substitute the values into the Law of Cosines.
The side opposite the angle Î¸ is the opposite side, and the other side, being next to the angle (but not being the hypotenuse) is the adjacent side. As you can see, the labels opposite and adjacent are relative to the angle in question. There are six ways to form ratios of the three sides of this triangle. The ratios in the left-hand table are the regular trig ratios; the ones in the right-hand table are their reciprocals (that is, the inverted fractions).