The cotangent function is undefined at every integer multiple of which constant?
Show answer
Pi
Cotangent is defined as cos(x)/sin(x). Because sin(x) is zero at every integer multiple of pi (..., -pi, 0, pi, 2pi, ...), cotangent is undefined and has vertical asymptotes there.
Also asked as:
- At which constant's integer multiples does the cotangent function have vertical asymptotes?