Evaluate csc(0)

Problem

csc(0)

Solution

1. Identify the definition of the cosecant function in terms of the sine function.

csc(x)=1/sin(x)

2. Substitute the given value x=0 into the definition.

csc(0)=1/sin(0)

3. Evaluate the sine of 0 using the unit circle or trigonometric properties.

sin(0)=0

4. Determine the behavior of the expression as the denominator approaches zero.

csc(0)=1/0

5. Conclude that division by zero is undefined in the set of real numbers.

Final Answer

csc(0)=undefined

Want more problems? Check here!