Find the Exact Value tan(87)

Problem

tan(87)

Solution

1. Identify the expression as the tangent of an angle in degrees.

2. Recognize that 87 is not a standard reference angle (like 30 45 or 60.

3. Determine if the task requires a numerical approximation or a trigonometric identity expansion. Since the task asks for the "Exact Value" and 87 is not a standard multiple of 3 or 15 that yields a simple radical form, we evaluate the expression.

4. Note that while 87=45+42 or 87=90−3 the exact radical form for tan(3) is extremely complex.

5. Conclude that for most mathematical contexts, the exact value is represented by the expression itself unless a specific radical identity is required.

Final Answer

tan(87)=tan(87)

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