situational problems involving the cotangent function in real life

Answer 1

The best answer to this question is that nobody uses the cotangent function in basically any context.

If you want to get a good grade on the question, you can state that the cotangent function could be used to figure out the physics of a racecar riding at a high speed on a circular path with some given coefficient of friction. Does this count as everyday use? Maybe if you’re a NASCAR engineer.