Find the Exact Value sin(2/3)

Problem

sin(2/3)

Solution

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

2. Determine if the value corresponds to a standard angle on the unit circle. The value 2/3 radians is approximately 38.2 which is not a standard reference angle like π/6 π/4 or π/3

3. Conclude that since the angle is not a multiple of standard values and no further simplification is requested, the exact value is represented by the expression itself.

Final Answer

sin(2/3)=sin(2/3)

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