Stage 25 · Trigonometry

25.7.3 Given Conditions and Judging the Number of Solutions

25.7 Solving Triangles: The Laws of Sines and Cosines

Point 3 of 5

25.7.3 Given Conditions and Judging the Number of Solutions

Core idea

Depending on which sides and angles you're handed, a triangle may be unique, have two solutions, or none, so check the conditions before you dive in.

Module goal. We extend trig functions from the right triangle to any triangle, using the two great laws to convert freely between sides and angles, wrapping up this stage and handing the next, Sequences, a foundation of measurable relationships.
eastmath.com · 25.7 Solving Triangles: The Laws of Sines and Cosines · 25.7.3 Given Conditions and Judging the Number of Solutions