Final answer:
To find the coterminal angles of an angle, we can add or subtract multiples of 360 degrees or 2π radians. For an angle of 150°, the coterminal angles are 510° and -210°. For an angle of 11π/6 radians, the coterminal angles are 23π/6 and -π/6.
Step-by-step explanation:
In order to find the coterminal angles of an angle, we can add or subtract multiples of 360 degrees or 2π radians.
(a) For an angle of 150°, we can add or subtract multiples of 360°: 150° + 360° = 510° and 150° - 360° = -210°. Therefore, the coterminal angles of 150° are 510° and -210°.
(b) For an angle of 11π/6 radians, we can add or subtract multiples of 2π radians: 11π/6 + 2π = 23π/6 and 11π/6 - 2π = -π/6. Therefore, the coterminal angles of 11π/6 radians are 23π/6 and -π/6.