Find the Exact Value sin(-2/3)

Problem

sin(−2/3)

Solution

1. Identify the function and the input. The task is to find the value of the sine function for an angle of −2/3 radians.

2. Apply the odd-function property of sine. The sine function is odd, which means sin(−x)=−sin(x)

3. Rewrite the expression using this property.

sin(−2/3)=−sin(2/3)

4. Determine if the value can be simplified further. Since 2/3 is not a standard unit circle angle (like π/3 or π/6, and the input is in radians, the exact value is simply the expression itself.

Final Answer

sin(−2/3)=−sin(2/3)

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