Simplify sin(-( square root of 2)/2)

Problem

sin(−√(,2)/2)

Solution

1. Identify the input of the function. The task asks to evaluate the sine of the value −√(,2)/2 radians.

2. Apply the odd function property of sine, which states that sin(−x)=−sin(x)

3. Rewrite the expression using this property.

sin(−√(,2)/2)=−sin(√(,2)/2)

4. Evaluate the sine of the constant. Since √(,2)/2 is approximately 0.7071 radians, and not a standard "special angle" (like π/4 usually found on the unit circle, the expression is already in its simplest exact form.

Final Answer

sin(−√(,2)/2)=−sin(√(,2)/2)

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