Find the Exact Value csc(7)

Problem

csc(7)

Solution

1. Identify the expression as the cosecant of 7 radians.

2. Determine if 7 is a standard angle or a multiple of π Since 7 is not a common multiple of π (like π/6 π/4 etc.), it does not have a simplified exact radical form.

3. Express the function in terms of its reciprocal identity. The cosecant function is defined as the reciprocal of the sine function.

4. Conclude that the exact value is represented by the expression itself or its reciprocal form, as there is no further algebraic simplification possible for the integer value 7 in radians.

Final Answer

csc(7)=1/sin(7)

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