Assume the following angle is in standard position.Which of the following is a positive angle that is coterminal with 11 pie over 7

Question

Choices are ;

 

3 pie over 9

 

-25 pie over 7

 

-3 pie over 7

 

25 pie over 7

Answer 1

A coterminal angle is one that is shares the same side that makes an angle.  Since they are asking for a POSITIVE angle, we simply rotate another full rotation (360 degrees or 2pi rads) to get to the same side again.

 

Thus, 11pi/7 + 2pi = 11pi/7 + 14pi/7 = 25pi/7

 

The answer is the last one.