Find the Exact Value tan(8/15)

Problem

tan(8/15)

Solution

1. Identify the expression as the tangent of a constant value, where the argument 8/15 is given in radians.

2. Determine if the value corresponds to a standard angle on the unit circle. Since 8/15 radians is not a standard angle (like π/6 π/4 or π/3, there is no simpler algebraic form using square roots or integers.

3. Conclude that the exact value is the expression itself, as it cannot be simplified further into a more basic exact numerical form without using trigonometric tables or a calculator for a decimal approximation.

Final Answer

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

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