Question

if the axes are rotated through an angle 45 the coordinates of 2 square root of 2 , -3 square root of 2 in the new system are

Answer 1

Hey there!

Answer:

(-1,-5)

Step-by-step explanation:

Formula for new co-ordinates after rotation of axes:

(x cosθ+y sinθ,-x sinθ+y cosθ)

=$(2\sqrt{2} *cos45-3\sqrt{2} *sin45 , -2\sqrt{2} *sin45-3\sqrt{2} * cos45)$

=(2-3,-2-3)

=(-1,-5)