First, rotate around the unit circle clockwise (negative direction) starting at (0,1). Since π is halfway around, -3/4 pi will be the middle of the third quadrant. However, since its length is -1, mirror it over the origin to get to the equivalent of (1, π/4).
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The point is (√2/2, √2/2).
The way to get there is:
First, rotate around the unit circle clockwise (negative direction) starting at (0,1). Since π is halfway around, -3/4 pi will be the middle of the third quadrant. However, since its length is -1, mirror it over the origin to get to the equivalent of (1, π/4).
(-1, -3Ï/4) = (1, Ï/4) = (cos Ï/4, sin Ï/4) = (½â2, ½â2)
(1/sqrt2, 1/sqrt2)