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

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

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Alexandra 4 weeks 2021-08-17T16:03:30+00:00 1 Answer 0 views 0

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    2021-08-17T16:05:27+00:00

    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)

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