Find the Exact Value tan(7)

Problem

tan(7)

Solution

1. Identify the input of the function. The expression tan(7) represents the tangent of the number 7.

2. Determine the units. In mathematics and calculus, if no degree symbol is present, the argument is assumed to be in radians.

3. Evaluate the exactness. The number 7 is not a standard multiple of π (such as π/6 π/4 or π/3, nor is it a value that can be simplified into a more basic radical form using standard trigonometric identities.

4. Conclude the form. Since there is no simpler algebraic way to express the tangent of 7 radians without using an infinite series or a decimal approximation, the exact value is written simply as tan(7)

Final Answer

tan(7)=tan(7)

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