Find the Exact Value sin(1/5)

Problem

sin(1/5)

Solution

1. Identify the expression as the sine of a constant value given in radians.

2. Determine if the argument 1/5 corresponds to a standard reference angle (like π/6 π/4 or π/3. Since 1/5 is not a multiple of π it does not have a simplified radical form using standard trigonometric identities.

3. Conclude that the exact value is represented by the expression itself, as it cannot be simplified further into basic radicals or integers.

Final Answer

sin(1/5)=sin(1/5)

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