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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.
Given the side lengths of a right triangle and one of the acute angles, find the sine, cosine, and tangent of that angle. 1  Find the sine as the ratio of the opposite side to the hypotenuse. 2  Find the cosine as the ratio of the adjacent side to the hypotenuse. 3  Find the tangent is the ratio of the opposite side to the adjacent side.