Question: A point P is described by the coordinates (x, y) with respect to the normal Cartesian coordinate system shown in Fig. P3.67. Show that (x`,

A point P is described by the coordinates (x, y) with respect to the normal Cartesian coordinate system shown in Fig. P3.67. Show that (x`, y`), the coordinates of this point in the rotated coordinate system, are related to (x, y) and the rotation angle a by the expressions

x' xcos + y sin

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