sinθ

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桃園市

sin (90°-θ) = cosθ

sin²θ + cos²θ = 1

tanθ = sinθ / cosθ

sin (α+β) = sinα x cosβ + cosα x sinβ。 sin (α-β) = sinα x cosβ – cosα x sinβ
cos (α+β) = cosα x cosβ – sinα x sinβ。 cos (α-β) = cosα x cosβ + sinα x sinβ
tan (α+β) = (tanα + tanβ) / (1 – tanα x tanβ) tan (α-β) = (tanα – tanβ) / (1 + tanα x tanβ)

sin2θ = 2 x sinθ x cosθ
cos2θ = cos²θ – sin²θ = 2cos²θ -1 = 1 – 2sin²θ
tan2θ = 2tanθ / (1 – tan²θ)

sin3θ = 3sinθ – 4sin³ θ （三上富士山）
cos3θ = 4cos³ θ – 3cosθ（四塊三減三塊—台語）

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