Find the Exact Value sin(-4/5)

Problem

sin(−4/5)

Solution

1. Identify the expression as the sine of a negative value.

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

3. Rewrite the expression using this property to move the negative sign outside the function.

4. Determine if the value can be simplified further. Since 4/5 is not a standard angle (like 30 or π/4, the exact value is expressed in terms of the sine function itself.

Final Answer

sin(−4/5)=−sin(4/5)

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