Trigonometry

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tan θ = sin θ / cos θ  ("tangent")
sec θ = 1 / cos θ  ("secant")
cosec θ = 1 / sin θ  (or csc, "cosecant")
cot θ = 1 / tan θ  ("cotangent")
sin2θ+cos2θ = 1  
cos(θ+φ) = cos θ cos φ - sin θ sin φ  (use eiθeiφ=ei(θ+φ))
sin(θ+φ) = cos θ sin φ + sin θ cos φ  (--"--)
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