My only take on high school math is fuck trigonometry — people who get to complex numbers can treat all of trig as a mildly interesting corollary, essentially no one else needs to know it.
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Where else are you supposed to learn about circles, pi, sin, cos, etc.? [Some of] the most fundamental constant and functions come from the study of circles. Re: complex analysis It is the other way around. Geometric intuitions are formalized as analytical theorems.
You learn about circles and in geometry, and learn that cos(ϑ) and sin(ϑ) and cos(ϑ) are real and imaginary components of exp(iϑ) which immediately connects them to circles and makes all trig identities extremely obvious.
