Asked by Mason
Find the coordinates of the point shown on the unit circle, if cosθ=−12
.(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
Likely you mean cos θ = −1/2. On the unit circle the point is (cos θ, sin θ). So
sin θ = ±√(1 − cos^2θ) = ±√(1 − 1/4) = ±√(3/4) = ±√3/2.
Thus the possible points are (-1/2, √3/2) (θ = 2π/3) or (-1/2, −√3/2) (θ = 4π/3). Which one applies depends on the quadrant shown.
sin θ = ±√(1 − cos^2θ) = ±√(1 − 1/4) = ±√(3/4) = ±√3/2.
Thus the possible points are (-1/2, √3/2) (θ = 2π/3) or (-1/2, −√3/2) (θ = 4π/3). Which one applies depends on the quadrant shown.
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