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# Trigonometric Points in terms of Radians : Transformations

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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.

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

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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

Solution. If we only consider the points on the unit circle, so we can assume the coordinate of the original point is , then its reflection point, denoted by Q(x',y'), then follwed by a rotation ...

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• BSc , Wuhan Univ. China
• MA, Shandong Univ.
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