how does the direction ( clockwise or counterclockwise effect the values of the unit circle?

Question

anonymous · Answer

The sin, cos, and tan values are not affected. Going clockwise around the unit circle gives you negative angle measures; counterclockwise gives you positive angle measures.

For example, 7pi/4 is the same as -pi/4. Either way, the cos of that angles (by either name) is 0.707 and the sin is -0.707.

Does that help?

anonymous · Answer

you mean -7pi/4 and 7pi/4 are equal

anonymous · Answer

No. 7pi/4 and -pi/4. Both take you to the 45 degree angle in Quadrant IV.

7pi/4 is 7 increments of 45 degrees, ccw, but -7pi/4 is 7 increments of 45 degrees in the other direction. You travel the same number of degrees, so to speak, but you end up in different places.

anonymous · Answer

so changing the direction also changes the starting point ,instead of being in the first quadrant pi/4 is now in the fourth quadrant

anonymous · Answer

and has a negative sign

anonymous · Answer

Changing direction doesn't change the starting point. We always start at the bottom of quadrant I. It changes the ending point.

anonymous · Answer

TBates is correct. We always start at 3 o'clock. That's 0 degrees or 0 radians. We then rotate as many degrees or radians as we are given, from that starting point.