Find the domain of the function y = 2 cot(5∕8x). A) All real numbers except odd integer multiples of 8π∕5
B) All real numbers except 0 and integer multiples of 8π∕5
C) All real numbers except 0 and integer multiples of 4π∕5
D) All real numbers except odd integer multiples of 4π∕5

B) All real numbers except 0 and integer multiples of 8π∕5

Step-by-step explanation:

Cotangent function:

The cotangent function is given by:

Domain:

All real values except those at which:

The sine is 0 for 0 and all integer multiples of

In this question:

, so the values outside the domain are 0 and the integer multiples of . Then the correct answer is given by option b.