Find the Exact Value tan(15/8)

Problem

tan(15/8)

Solution

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

2. Determine if the value corresponds to a standard angle on the unit circle. The value 15/8 is approximately 1.875 radians, which does not correspond to a common reference angle like π/6 π/4 or π/3

3. Conclude that since the input is not a standard multiple of π and no further trigonometric identities simplify this specific ratio into a radical or integer form, the exact value is represented by the expression itself.

Final Answer

tan(15/8)=tan(15/8)

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