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Trigonometry Identity: tan^2(x) + 1 = sec^2(x)

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First published at 06:55 UTC on May 14th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the proof of the trigonometry identity tan^2(x) + 1 = sec^2(x). The proof of this identity is very simple and like many other trig identities, stems from the basic trig identity, known as the Pythagorean trig identity: sin^2(x) + cos^2(x) = 1 (the proof of this identity is shown in the related videos below). The derivation of identity is to simply divide the Pythagorean trig identity by cos^2(x) on both sides and use the definitions of tan(x) and sec(x) to re-write the resulting identity.

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!103202&authkey=!AKS2Cx-58iguxv0&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/trigonometry-identity-tan-2-x-1-sec-2-x

Related Videos:

Trigonometry Identities: Proof that sin^2(x) + cos^2(x) = 1: http://youtu.be/o-fAx_96lgw
Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x): http://youtu.be/tD5EA2SXyFQ
Trigonometry Identities: cos(x +/- y) = cos(x)cos(y) -/+ sin(x)sin(y) : http://youtu.be/VuQczhk7HOs
Trigonometry Identities: cos(2π + x), sin(2π + x), cos(π/2 -x), sin(π/2 -x): http://youtu.be/EynSefQs308
Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y): http://youtu.be/edtk9thfwbM
Trigonometric Identity: sin(2x) = 2sin(x)cos(x): http://youtu.be/IaZFDmVtyyU
Trigonometric Identity: cos(2x) = 1 - 2sin^2(x): http://youtu.be/XGk2CpbEl8I
Trigonometry Identity: tan(-x) = tan(x): http://youtu.be/nvaP_091Ar8
Half Angle Trigonometry Identities: http://youtu.be/0bY6tHZhBSI
Trigonometry: Product Identities: http://youtu.be/os8XKWAj9P8
Trigonometric Identity: sin(π-x) = sin(x): http://youtu.be/x36tRrVGtX0 .