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given that cos θ = 0, find the coordinates of the point where the terminal side of θ intersects the unit circle if θ is an obtuse angle.
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On the unit circle cos θ = x, so x = 0. From x^2 + y^2 = 1 we get y = ±1. Thus the terminal side meets the unit circle at (0,1) and (0,-1).
Note: an obtuse angle means π/2 < θ < π, but cos θ = 0 occurs only at θ = π/2 and 3π/2, so there is no strictly obtuse θ with cos θ = 0. If you mean the terminal side in the second quadrant (boundary included), the relevant point is (0,1).
Note: an obtuse angle means π/2 < θ < π, but cos θ = 0 occurs only at θ = π/2 and 3π/2, so there is no strictly obtuse θ with cos θ = 0. If you mean the terminal side in the second quadrant (boundary included), the relevant point is (0,1).
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