Find the linear equations that can be used to convert

Brennan Flores

Brennan Flores

Answered question

2021-08-19

Find the linear equations that can be used to convert an (x, y) equation to a (x, v) equation using the given angle of rotation θ.

θ=π3

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-08-20Added 109 answers

Use the axis rotation formulas: x=ucosθvsinθ

y=usinθ+vcosθ

Substitute θ=π3. This is a special angle so we can find the exact values.

For x, x=ucosπ3vsinπ3

x=u23v2

For y, y=usin(π3)+vcos(π3)

y=3u2+v2

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