Question

when the axes are rotated through an angle of 30° find the new coordinate of (0,0).
please answer relevantly.​

Answer 1

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)