Find the Exact Value sin(-3/5)

Problem

sin(−3/5)

Solution

1. Identify the function and the input. The task is to find the exact value of the sine of a constant value, −3/5 radians.

2. Recognize that −3/5 is not a standard angle (like 0 π/6 π/4 π/3 or π/2 for which the sine value is expressed in simple radicals or integers.

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

4. Conclude that since −3/5 is already a precise numerical value in radians, the exact value is simply the expression itself or its equivalent with the negative sign moved outside.

Final Answer

sin(−3/5)=−sin(3/5)

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