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06-09-2020
Mathematics

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what is the rule for a counterclockwise rotation about the origin of 210°

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06-09-2020

Answer:

(x, y) ⇒ (-x√3/2 +y/2, -x/2 -y√3/2)

Step-by-step explanation:

The rule for CCW rotation through an angle α is ...

(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

So, for α = 210°, the rule becomes ...

(x, y) ⇒ (-x√3/2 +y/2, -x/2 -y√3/2)

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