Formulae for Precalc Finals

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Last updated 6:32 PM on 5/31/26
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12 Terms

1
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Sine double angle formula

2cosxsinx

2
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Cosine double angle formulae

  1. cos²x-sin²x

  2. 2cos²x-1

  3. 1-2sin²x

3
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Sine sum formula

sinacosb+cosasinb

4
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Sine difference formula

sinacosb-cosasinb

5
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Cosine sum formula

cosacosb-sinasinb

6
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Cosine difference formula

cosacosb+sinasinb

7
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u • v (dot product)

u1v1 + u2v2

8
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|v| (Magnitude of vector)

√(v1²+v2²)

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Angle between two vectors

arccos((u•v)/|u||v|)

10
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(r, θ)

  1. (r, θ+360k)

  2. (-r, θ+180)

11
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Polar to Rectangular

x = rcosθ, y = rsinθ

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Rectangular to polar

r = √(x²+y²), θ=arctan(y/x)