Find the acute angle of rotation a that eliminates the xy term. State approximate solution to the nearest 0.1 .

Question

Quizplus · Accepted Answer

To eliminate the xy term, we need to rotate the coordinate system such that the line y=x gets aligned with one of the coordinate axes. This can be achieved by rotating the original coordinate system by an angle of 45 degrees (pi/4 radians) clockwise or counterclockwise. Since we want the acute angle of rotation, we choose the smaller angle which is 45-22.5=22.5 degrees, or pi/8 radians, counterclockwise. Therefore, the answer is D) 67.5 degrees.

Find the Acute Angle of Rotation a That Eliminates the Xy