Answer:
1. 11π/6
2. 43π/18
3. -π/4
4. - 43π/18
5. 23π/6
6. 25π/18
Explanation:
A full circle has a measure of 360° in degrees and 2π radians in radians.
Since a full circle has a measure of 2π radians, then half a circle has a measure of π radians, and a quarter circle has a measure of π/2 radians.
1. 2π - π/6 = 11π/6
2. 61π/36 - π/2 = 61π/36 - 18π/36 = 43π/18
3. 5π/4 - π = π/4; -π/4
4. -36π/18 - 7π/18 = -43π/18
5. 2π + π + 5π/6 = 23π/6
6. 36π/18 - 11π/18 = 25π/18