The overwhelming sense of excitement one has after completing a challenging trigonometry problem accompanied by absolute confidence that the answer is correct.
Events prior to trigasm include various mathematical calculations and trial and error methods in an attempt to produce an answer that seems reasonable. Upon successful verification of correctness, the problem solver reaches trigasm as excitement, relief and accomplishment are experienced. Audible responses due to trigasm may or may not be present.
Jimmy had spent a good 5 minutes on a single trig problem before his mind clicked; he had forgotten that he could minus the given two angles from 180 to get the third angle. After realizing this, Jimmy had a trigasm because he knew he was able to solve the whole triangle as the problem had also given him a side measurement; indeed, he knew he would get an A.
The trigonometry class was silent as the students were taking their last test of the semester. 5 minutes were left on the clock and everyone was anxiously finishing up the last of their problems. A cute girl in the corner yelled, "Yes!!!!" in intense excitement as she had just verified the last of her answers to be correct. Clearly, she had just experienced a trigasm.
Jake: Dude, that test was so hard, wasn't it?!
Bob: Yeah, at first it was pretty difficult. Toward the end I experienced a couple of trigasms though so I think I did alright overall.