Based on definition of unit circle and angle properties on Cartesian plane, we find the following results: A: π/5, B: 3π/7, C: 4π/3.
How to determine angles in a unit circle
Units circles are commonly used to understand angles and trigonometric functions in a simple way. Vectors in a unit circle are ordered pairs of polar form: (x, y) = (cos θ, sin θ).
To solve this problem, we must take these tips into account:
- Angles in the first quadrant are within 0 < θ < π/2.
- Angles in the second quadrant are within π/2 < θ < π.
- Angles in the third quadrant are within π < θ < 3π/2.
- Angles in the fourth quadrant are within 3π/2 < θ < 2π.
Then, we have the following results: A: π/5, B: 3π/7, C: 4π/3.
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