If we start at the point (1, 0) and travel once around the unit circle, a distance of 2π units have been traveled and you arrive back where you started. If you continue around the unit circle a second time, you will repeat all the values of x and y that occurred during our first trip around. I understand this. I need to evaluate this expression:

sin(11pi + pi/2).

I figured that pi/2 (by using the unit circle) would be 1 since the coordinates for pi/2 are (0,1) and I'm looking for (sin). And then 11pi would equal 0 based off of those coordinates.

Question

If we start at the point (1, 0) and travel once around the unit circle, a distance of 2π units have been traveled and you arrive back where you started. If you continue around the unit circle a second time, you will repeat all the values of x and y that occurred during our first trip around. I understand this. I need to evaluate this expression:

sin(11pi + pi/2).

I figured that pi/2 (by using the unit circle) would be 1 since the coordinates for pi/2 are (0,1) and I'm looking for (sin). And then 11pi would equal 0 based off of those coordinates.

anonymous · Answer

For sin(11pi + pi/2) I came to an answer of 1. But it is incorrect. Can someone please tell me what I am doing wrong. I'd appreciate it very much! Thank you!