Find the Exact Value sin(2/5)

Problem

sin(2/5)

Solution

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

2. Determine if the argument 2/5 corresponds to a standard reference angle (such as π/6 π/4 or π/3.

3. Conclude that since 2/5 is not a multiple of π or a standard angle used in trigonometry tables, the exact value is represented by the expression itself.

Final Answer

sin(2/5)=sin(2/5)

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