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Rotation about the origin

Using the above figure, complete the following questions.

Consider a point on a rectangular coordinate plane. If is rotated anti-clockwise about the origin through to , find the coordinates of .

If is rotated anti-clockwise about the origin through to , find the coordinates of .

Draft your own diagram!

is rotated clockwise about through to . Find the coordinates of .

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is rotated anti-clockwise about through to . Find the coordinates of .

Draft here!