Find the Exact Value csc(2)

Problem

csc(2)

Solution

1. Identify the expression as the cosecant of 2 radians.

2. Recognize that 2 radians is not a standard reference angle (like π/6 π/4 or π/3 for which exact values are typically expressed using simple radicals or integers.

3. Apply the reciprocal identity for cosecant, which states that csc(x)=1/sin(x)

4. Conclude that since 2 is not a special angle, the exact value is represented by the trigonometric expression itself or its reciprocal form.

Final Answer

csc(2)=1/sin(2)

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