I took trigonometry, calculus, and (later) differential equations and vector calculus. Integrating sin(2x) did not contribute enough to by education to be worth the effort.
As a computer programmer, I need discrete math for my job. (The only computer people I know using continuous math for their day jobs are in HPC /scientific computing). As a citizen, voter, and member of society, I need probability, statistics, and a good understanding of logical fallacies.
I'm just another jerk with an opinion, but I'd drop the trig and calculus curriculum in favor of discrete math and stats in secondary education. In post-secondary education, I like another poster's idea to teach calculus in the context of other disciplines (i.e. physics)... at the undergrad level for non-math majors. Or better, I'd run a controlled experiment with random sampling to determine the effects of a curriculum change.