Find the Exact Value csc(pi)

Problem

csc(π)

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 π into the expression.

csc(π)=1/sin(π)

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

sin(π)=0

4. Determine the value of the fraction. Since the denominator is zero, the expression is undefined.

1/0⇒Undefined

Final Answer

csc(π)=Undefined

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