Processing math: 100%
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12.1: Trigonometry

( \newcommand{\kernel}{\mathrm{null}\,}\)

ejθ=cosθ+jsinθ

cosθ=12(ejθ+ejθ)

sinθ=1j2(ejθejθ)

cos2θ=12+12cos2θ

sin2θ=1212cos2θ

sin(a±b)=sinacosb±cosasinb

cos(a±b)=cosacosbsinasinb

Hyperbolic trigonometric functions:

sinhθ=12(e+θeθ)

coshθ=12(e+θ+eθ)


This page titled 12.1: Trigonometry is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Steven W. Ellingson (Virginia Tech Libraries' Open Education Initiative) via source content that was edited to the style and standards of the LibreTexts platform.

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