Find the linear equations that can be used to convert

Tabansi

Tabansi

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=70

Answer & Explanation

hajavaF

hajavaF

Skilled2021-08-20Added 90 answers

Use the axis rotation formulas: x=ucosθvsinθ

vy=usinθ+vcosθ

Substitute θ=70. This is not a special angle so we use a calculator to approximate.

For x, x=ucos70vsin70

x=0.342u0.940v

For y, y=usin70+vcos70

y=0.940u+0.342v

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