1.

When the axes are rotated through an angle 30° find the new coordinates of the (0,0)​

Answer»

ong>ANSWER:

x' = x COS(θ) + y SIN(θ)

y' = - x sin(θ) + y cos(θ)

So,

x' = -2(√3/2) + 4(1/2) = 2 - √3

y' = 2(1/2) + (4)(√3/2) = 1 + 2√3

New coordinates = (2 - √3, 1 + 2√3)

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