Using radian measure find two positive angles and two negative angles that are coterminal pi/3

Answer 1

To find angles that are coterminal with an angle of π/3, we can use the formula:

coterminal angle = given angle + n * 2π

where n is an integer.

For positive angles:
1) coterminal angle = π/3 + 2π = 7π/3
2) coterminal angle = π/3 + 4π = 13π/3

For negative angles:
1) coterminal angle = π/3 - 2π = -5π/3
2) coterminal angle = π/3 - 4π = -11π/3

Therefore, two positive angles that are coterminal with π/3 are 7π/3 and 13π/3, and two negative angles that are coterminal with π/3 are -5π/3 and -11π/3.