Cosecant of 0 (csc 0) is undefined.
Understanding Cosecant
The cosecant function is the reciprocal of the sine function. Mathematically, it's expressed as:
csc(x) = 1 / sin(x)
Why csc 0 is Undefined
To determine csc 0, we need to find the value of sin 0. We know that:
sin(0) = 0
Therefore,
csc(0) = 1 / sin(0) = 1 / 0
Division by zero is undefined in mathematics. Consequently, csc 0 is undefined. Trying to compute it results in an undefined value because you end up with 1/0.
