Find the Exact Value arctan(4/3)

Problem

arctan(4/3)

Solution

1. Identify the expression as the inverse tangent of a ratio that does not correspond to a standard reference angle (like 0 π/6 π/4 or π/3.

2. Recognize that the value 4/3 is not a common trigonometric ratio derived from special triangles.

3. Determine that the exact value of arctan(4/3) cannot be simplified into a simpler multiple of π or a radical expression.

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

Final Answer

arctan(4/3)=arctan(4/3)

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