Math  /  Trigonometry

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In which quadrant is a point with the polar coordinate θ=2.1π\theta=2.1 \pi ?
Quadrant II eTextbook and Media
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Studdy Solution
Determine the quadrant for θ=0.1π\theta = 0.1\pi:
- Quadrant I: 0<θ<π20 < \theta < \frac{\pi}{2} - Quadrant II: π2<θ<π\frac{\pi}{2} < \theta < \pi - Quadrant III: π<θ<3π2\pi < \theta < \frac{3\pi}{2} - Quadrant IV: 3π2<θ<2π\frac{3\pi}{2} < \theta < 2\pi
Since 0.1π0.1\pi is between 00 and π2\frac{\pi}{2}, the angle lies in Quadrant I.
The point with the polar coordinate θ=2.1π\theta = 2.1\pi is in:
Quadrant I

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