Find the Exact Value tan(48)

Problem

tan(48)

Solution

1. Identify the expression as the tangent of an angle measured in degrees, tan(48)

2. Recognize that 48 is not a standard reference angle (like 30 45 or 60.

3. Determine if the value can be expressed using radicals. While 48 can be expressed as 60−12 or 3×16 the resulting expression involves nested radicals that are not typically considered a simplified "exact value" in most contexts.

4. Conclude that without further instructions to use specific trigonometric identities or approximations, the exact value is represented by the expression itself.

Final Answer

tan(48)=tan(48)

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