Find the Exact Value tan(6/8)

Problem

tan(6/8)

Solution

1. Simplify the fraction inside the tangent function by dividing the numerator and the denominator by their greatest common divisor, which is 2.

6/8=3/4

2. Identify the expression as the tangent of a dimensionless value (0.75 radians). Since 3/4 is not a standard angle (like π/6 π/4 or π/3, the exact value is expressed simply as the function of that value.

3. State the final form of the expression.

Final Answer

tan(6/8)=tan(3/4)

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