Find the Exact Value tan(4/3)

Problem

tan(4/3)

Solution

1. Identify the input of the function. The expression tan(4/3) represents the tangent of an angle measured as 4/3 radians.

2. Determine if the value is a standard angle. The value 4/3 is approximately 1.33 radians, which is not a standard multiple of π (such as π/6 π/4 or π/3 found on the unit circle.

3. Conclude the exact form. Since 4/3 is not a special angle, the exact value cannot be simplified into a simpler algebraic expression involving square roots or integers. The exact value is written in its functional form.

Final Answer

tan(4/3)=tan(4/3)

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