Find the linear equations that can be used to convert

Reggie 2021-08-20 Answered

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.

\(θ=70^∘\)

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Expert Answer

hesgidiauE
Answered 2021-08-21 Author has 16356 answers

Use the axis rotation formulas:

Use the axis rotation formulas: \(x=u\cosθ-v\sinθ\)

\(vy=u\sinθ+v\cosθ\)

Substitute \(θ=70^∘\). This is not a special angle so we use a calculator to approximate.

For x, \(x=u\cos7^0∘-v\sin70^∘\)

\(x=0.342u-0.940v\)

For y, \(y=u\sin7^0∘+v\cos70^∘\)

\(y=0.940u+0.342v\)

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