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!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvhE4tV3srF3zrHhxg
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-trigonometric-identity-tan-x-y-proof
Related Videos:
Trigonometry Identities: cos(x +/- y) = cos(x)cos(y) -/+ sin(x)sin(y) :
Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y):
Trigonometry: Sine, Cosine and Tan Functions: .
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I don’t always discuss polar coordinates but when I do I usually represent polar equations in an infinite number of ways ;)
View Video Notes: https://steemit.com/mathematics/@mes/video-notes-trigonometric-identity-tan-x-y-proof