Final answer:
To calculate coterminal angles for π/10, add and subtract 2π for positive and negative angles respectively. Thus, 21π/10 is a positive coterminal angle, and -19π/10 is a negative coterminal angle.
Step-by-step explanation:
To find a positive and negative coterminal angle for π/10, you need to add or subtract multiples of 2π, as angles are coterminal when they differ by full rotations. Here's how you can calculate them:
- For a positive coterminal angle: π/10 + 2π = π/10 + 20π/10 = 21π/10.
- For a negative coterminal angle: π/10 - 2π = π/10 - 20π/10 = -19π/10.
Thus, 21π/10 radians is a positive coterminal angle and -19π/10 radians is a negative coterminal angle for π/10.