Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
7pi/3
one rotation is 2π radians
so to get a positive coterminal angle ADD 2π
7π/3 + 2π
= 7π/3 + 6π/3
= 13π/3
to get a negative coterminal angle SUBTRACT 2π
7π/3 - 2π
= ...
I will let you finish it.
Just realized, you will have to subtract 4 π to make it negative.
To find the coterminal angles, we need to add or subtract a full revolution of 2π to the given angle until we get a positive angle and a negative angle.
Given angle: 7π/3
Positive coterminal angle:
To get a positive angle, we need to add or subtract 2π until we obtain an angle between 0 and 2π.
7π/3 + 2π = 21π/3 + 6π/3 = 27π/3 = 9π
The positive coterminal angle is 9π.
Negative coterminal angle:
To get a negative angle, we need to subtract 2π from the given angle.
7π/3 - 2π = 7π/3 - 6π/3 = π/3
The negative coterminal angle is π/3.
Therefore, the positive coterminal angle is 9π and the negative coterminal angle is π/3 with the given angle 7π/3.
To find the positive coterminal angle, add a full revolution (2π) to the given angle:
7π/3 + 2π = 21π/3 + 6π/3 = 27π/3 = 9π
Therefore, the positive coterminal angle is 9π.
To find the negative coterminal angle, subtract a full revolution (2π) from the given angle:
7π/3 - 2π = 21π/3 - 6π/3 = 15π/3 = 5π
Therefore, the negative coterminal angle is 5π.