In this video I go over a quick proof of the trigonometric identities tan(x + y) and tan(x – y). The identity is simple to derive because we can use the identities which I derived in my earlier videos for sin(x +/- y) and cos(x +/- y), as well as the fact that the tangent function, tan, is just equal to the ratio of sine over cosine. Although deriving the set of identities for tan(x +/- y) is pretty simple, I show how even that process can be simplified further by utilizing the use of the notations “+/-“ and “-/+”. This allows for the solving of two identities or sets of identities at the same time! I will be utilizing this set of trig identities in my later videos so make sure to watch this video!

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Trigonometric Identity: tan(x +/- y)