Simplify csc(0)

Problem

csc(0)

Solution

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

csc(θ)=1/sin(θ)

2. Substitute the given angle 0 into the expression.

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 fraction as the denominator approaches zero. Since division by zero is not defined in the set of real numbers, the expression is undefined.

1/0⇒undefined

Final Answer

csc(0)=undefined

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