Find the Exact Value tan(3/5)

Problem

tan(3/5)

Solution

1. Identify the expression as the tangent of a constant value given in radians.

2. Determine if the value 3/5 corresponds to a standard angle on the unit circle (such as 0 π/6 π/4 π/3 or π/2.

3. Conclude that since 3/5 is not a standard angle and there are no algebraic identities to simplify it further into radicals, the exact value is represented by the expression itself.

Final Answer

tan(3/5)=tan(3/5)

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