The second is more like what I've used, but the way you drew it, it doesn't represent the secant and cosecant very well. (Your colored lines are in the wrong places, and the overlapping of the two segments is awkward.)I keep seeing two different ways to represent the tangent, cotangent, secant, and cosecant in terms of the unit circle (image attached). Is there any benefit to using one vs. the other? Or any reason for having two different representations?