Which of the following angles are coterminal to θ=5π/6?
Select all that are True.
30∘
−11π/6
−7π/6
−330∘
17π/6
5pi/6=150 degrees
I believe it is -7pi/6 and 17pi/6
Is it
Those work. 2 pi = 12 pi/6 = full circle
-7 pi/6 + 12 pi/6 = 5 pi/6
17 pi/6 - 12 pi/6 = 5 pi/6
right
Just draw them :)
They have to differ from the original by a multiple of 2pi radians or 360 degrees.
Thank you....nothing else ..correct?
Thank you
Yes, you are correct. To find the coterminal angles to θ = 5π/6, we need to add or subtract a multiple of 2π (or 360°) from the given angle.
Given:
θ = 5π/6 = 150°
1. To find the positive coterminal angle, we add 2π:
θ + 2π = 5π/6 + 12π/6 = 17π/6 = 510°
2. To find the negative coterminal angles, we subtract 2π:
θ - 2π = 5π/6 - 12π/6 = -7π/6 = -210°
Therefore, the angles that are coterminal to θ = 5π/6 are -7π/6 and 17π/6.