Simplify arccot( square root of 7)

Problem

arccot(√(,7))

Solution

1. Identify the expression as the inverse cotangent of a positive real number.

2. Recognize that √(,7) is not a standard value associated with common angles (like 0,π/6,π/4,π/3,π/2 on the unit circle.

3. Determine if further algebraic simplification is possible. Since √(,7) is an irrational number and the expression is already in its simplest exact form, no further reduction can be performed without using a calculator for a decimal approximation.

4. Conclude that the exact value is arccot(√(,7))

Final Answer

arccot(√(,7))=arccot(√(,7))

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