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Axes are rotated through theta. The old x in terms of new coordinates is
Ax' sin(theta) + y' cos(theta)
Bx' cos(theta) + y' sin(theta)
Cx' cos(theta) - y' sin(theta)
Dx' sin(theta) - y' cos(theta)
Answer & Solution
Correct answer: C. x' cos(theta) - y' sin(theta)
Inverting the rotation matrix gives x = x' cos(theta) - y' sin(theta) and y = x' sin(theta) + y' cos(theta).
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