Find the Exact Value csc(1)

Problem

csc(1)

Solution

1. Identify the expression as the cosecant of 1 radian.

2. Recall the reciprocal identity for the cosecant function.

3. Substitute the identity into the expression to relate it to the sine function.

4. Determine if the value can be simplified further. Since 1 radian is not a standard angle (like π/6 or π/4, the exact value is expressed in terms of the sine function.

Final Answer

csc(1)=1/sin(1)

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