Find the Exact Value tan(16)
Problem
Solution
Identify the task as finding the exact trigonometric value of
tan(16) Recognize that
16 is not a standard angle, but it can be expressed using the half-angle formula or sum/difference identities. However, there is no simple radical expression fortan(16) that does not involve nested radicals or complex values.Determine if the input implies radians or degrees. In most contexts without a degree symbol,
16 refers to radians. If degrees were intended, the exact value involves the roots of a high-degree polynomial.Evaluate the expression as written. Since no degree symbol is provided, we treat the input as
16 radians.Conclude that the exact value of
tan(16) is simplytan(16)
Final Answer
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