Which angles are coterminal with pi/6?
Chose all answers that are correct.
A. 5pi/6
B.13pi/6
C.-5pi/6
D.-11pi/6
I think its A and C
2π is a full circle...so they end at the same place
π/6 + 2π = 13π/6
π/6 - 2π = -11π/6
Well, I hate to disappoint, but it seems like you're off on this one. The angles that are coterminal with pi/6 are A (5pi/6) and B (13pi/6). So option C (-5pi/6) and D (-11pi/6) are just a little off the mark. But hey, no worries, they tried their best!
You are correct. Angles that are coterminal with π/6 can be found by adding or subtracting integer multiples of 2π.
The possible answers are:
A. 5π/6
C. -5π/6
These angles are coterminal with π/6.
To determine which angles are coterminal with π/6, we need to find angles that have the same initial and terminal sides as π/6. Keep in mind that coterminal angles can be obtained by adding or subtracting any multiple of 2π (or 360 degrees).
The given angle is π/6. To find the coterminal angles, we can start by adding and subtracting multiples of 2π:
Adding 2π to π/6:
π/6 + 2π = (6π + π)/6 = 7π/6
Subtracting 2π from π/6:
π/6 - 2π = (3π - 12π)/6 = -π/6
Thus, the coterminal angles with π/6 are 7π/6 and -π/6. Comparing these angles to the options provided:
A. 5π/6: This angle is not coterminal with π/6.
B. 13π/6: This angle is not coterminal with π/6.
C. -5π/6: This angle is coterminal with π/6.
D. -11π/6: This angle is not coterminal with π/6.
So, the correct answers are A. 5π/6 and C. -5π/6.