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Trigonometric Points in terms of Radians : Transformations

In terms of radians and X, what would be the specifications of the anlges for trigonometric points which result from the following transformations of the trigonometric point P(X)? (Work these out on a diagram of the unit circle)

1) A reflection y = x followed by a rotation through pi

2) A reflection in y = -x

3) A reflection in the x axis followed by a rotation in the y axis

4) A rotation through -pi / 2 followed by a reflection in the y axis.

In each case, give the corresponding related angle formulas involving cos & sin.

Solution Summary

Angles are caluclated based transformations of trigonometric point, P(X). The solution is detailed and well presented.