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

Question

x is an acute angle. find the value of x in degrees

\\( \sin ( x ) = \frac { \sqrt { 2 } } { 2 } \\)

\\( x = \\) submit

Explanation:

Step1: Recall special - angle sine values

We know that for common angles, \(\sin(45^{\circ})=\frac{\sqrt{2}}{2}\), \(\sin(30^{\circ})=\frac{1}{2}\), \(\sin(60^{\circ})=\frac{\sqrt{3}}{2}\).

Step2: Determine the value of \(x\)

Since \(x\) is an acute angle (\(0^{\circ}

Answer:

\(45\)