I spend a lot of time looking at New York State Math Regents Exams. In addition to the critical analysis of the exams I undertake here, we typically grade several thousand exams at the end of each year at my school.
When grading so many exams, it’s not uncommon to feel disoriented and unsettled looking at the same problems over and over again. However, there was something particularly unsettling about this question.
This trigonometric function just appeared to be too round to me. Perhaps my senses were just dulled after hours of grading.
Thankfully, we have Geogebra to settle such mathematical disputes.
I was right! It is too round. Thanks again, Geogebra, for enabling my mathematical compulsions.