Please note that equation 4) gives the vertical projection of a vector whose magnitude is A, and it forms, with the positive x-axis an angle whose amplitude is theta, namely the y-axis component of the vector A.

A tipical usage of that formula, can be this:

"Given the vector A= (1/sqrt(3), sqrt(2/3) ), what is the aplitude of the angle with respect to the positive x-axis?"

the answer, is:

sin(theta) = Ay/A= sqrt(2/3).

Please note that A is an unit vector.

Feb 8th, 2015

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