find the angle the radius of
the unit circle ending at the given point makes
with the positive horizontal axis. Among the infinitely many possible correct solutions, choose
the one with the smallest absolute value. (-1/2),(√3/2)
find the angle the radius of the unit circle ending?
2020-08-08 11:31 pm
回答 (1)
2020-08-08 11:46 pm
Refer to the figure below.
As x-coordinate is negative and y-coordinate is positive, the point (-1/2, √3/2) lies on the second quadrant.
tan(θ) = (√3/2)/(1/2)
tan(θ) = √3
θ = tan⁻¹(√3)
θ = 180° - 60°, as the ending point lies on the second quadrant.
Angle of the radius, θ = 120°
As x-coordinate is negative and y-coordinate is positive, the point (-1/2, √3/2) lies on the second quadrant.
tan(θ) = (√3/2)/(1/2)
tan(θ) = √3
θ = tan⁻¹(√3)
θ = 180° - 60°, as the ending point lies on the second quadrant.
Angle of the radius, θ = 120°
收錄日期: 2021-04-18 18:36:22
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