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x is an acute angle. find the value of x in degrees. \\( \\tan ( x ) = …

Question

x is an acute angle. find the value of x in degrees.
\\( \tan ( x ) = 1 \\)
\\( x = \square ^ { \circ } \\)

Explanation:

Step1: Recall the tangent function value

We know that for an acute angle \(x\), \(\tan(x) = 1\).

Step2: Use the inverse - tangent function

Since \(\tan(x)=1\), then \(x = \arctan(1)\).
We know that \(\tan(45^{\circ})=1\) and the range of the principal value of the inverse - tangent function for acute angles (\(0^{\circ}

Answer:

\(45\)