Which of the following angles is NOT coterminal with the other three?
A. 591 degrees
B. 231 degrees
C. 51 degrees
D. -129 degrees
cute way to phrase the question!
Let's change the values so they are all between 0 and 360°
591 - 360 = 231
231 = 231
51 = 51
-129 + 360 = 231
Looks like C is the odd man out.
Full answers are:
1) A. 4; 2
2) C. 3
3) C. 51°
4) C. Cos = - √3/2, sin = 1/2
5) B. -14π/9
6) C. 108°
7) C. -√2/2, √2/2
8) A. 10.5
THANK YOU!!
Thank you Tea 8/8
Yup Yea is correct!!!
I'm glad to hear that! Do you have any other questions or can I help you with anything else?
To determine which angle is not coterminal with the other three, we need to find the coterminal angles for each option and see if there is a unique angle.
Coterminal angles are angles that have the same initial side and terminal side in the coordinate plane. To find the coterminal angles, we can add or subtract multiples of 360 degrees or multiples of 2π radians to the given angle.
Let's find the coterminal angles for each option:
A. 591 degrees:
To find the coterminal angles of 591 degrees, we can subtract or add multiples of 360 degrees:
591 degrees + 360 degrees = 951 degrees
591 degrees - 360 degrees = 231 degrees
B. 231 degrees:
To find the coterminal angles of 231 degrees, we can subtract or add multiples of 360 degrees:
231 degrees + 360 degrees = 591 degrees
231 degrees - 360 degrees = -129 degrees
C. 51 degrees:
To find the coterminal angles of 51 degrees, we can subtract or add multiples of 360 degrees:
51 degrees + 360 degrees = 411 degrees
51 degrees - 360 degrees = -309 degrees
D. -129 degrees:
To find the coterminal angles of -129 degrees, we can subtract or add multiples of 360 degrees:
-129 degrees + 360 degrees = 231 degrees
-129 degrees + (2 * 360 degrees) = 591 degrees
Now, we see that all three angles (231 degrees, 591 degrees, and -129 degrees) are coterminal with each other, except for 51 degrees. Therefore, the angle that is NOT coterminal with the other three options is C. 51 degrees.