Simplify tan(1/( square root of 3))

Problem

tan(1/√(,3))

Solution

1. Identify the expression as the tangent of a constant value, where the argument is 1/√(,3)

2. Rationalize the denominator of the argument if necessary to recognize standard values, though 1/√(,3) is already a common form.

3. Evaluate the numerical value of the argument. Since √(,3)≈1.732 the argument is approximately 0.577 radians.

4. Determine if the expression can be simplified further into a standard constant. Unlike arctan(1/√(,3)) which equals π/6 the expression tan(1/√(,3)) does not result in a standard rational or radical constant.

5. Conclude that the expression is already in its simplest exact radical form.

Final Answer

tan(1/√(,3))=tan(√(,3)/3)

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