Just as the sine and cosine can be found as ratios of sides of right triangles, so can the tangent.
We'll use three relations we already have. First, tan A = sin A / cos A. Second, sin A = a/c. Third, cos A = b/c. Dividing a/c by b/c and canceling the c's that appear, we conclude that tan A = a/b. That means that the tangent is the opposite side divided by the adjacent side: tan=opp/adj.
We'll use three relations we already have. First, tan A = sin A / cos A. Second, sin A = a/c. Third, cos A = b/c. Dividing a/c by b/c and canceling the c's that appear, we conclude that tan A = a/b. That means that the tangent is the opposite side divided by the adjacent side: tan=opp/adj.
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