Find the Exact Value sin(7/25)

Problem

sin(7/25)

Solution

1. Identify the expression as the sine of a constant value, where the argument 7/25 is given in radians.

2. Determine if the value corresponds to a standard angle on the unit circle. The value 7/25 is approximately 0.28 radians.

3. Conclude that since 7/25 is not a standard multiple of π (such as π/6 π/4 or π/3, the exact value cannot be simplified into a more basic algebraic form using radicals or integers.

4. State the expression in its simplest exact form, which is the expression itself.

Final Answer

sin(7/25)=sin(7/25)

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