Find the Exact Value arctan(4)
Problem
Solution
Identify the expression as the inverse tangent of the integer 4.
Determine if the value corresponds to a standard angle on the unit circle. The value 4 is not among the standard ratios for tangent, such as
0 √(,3)/3 1 or√(,3) Conclude that since 4 is not a standard ratio, the exact value cannot be simplified into a rational multiple of
π or a simple radical expression.State the exact value in its simplest mathematical form, which is the expression itself.
Final Answer
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