T1°T2 is a counterclockwise rotation about the origin by an angle of____rad

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SUMMARY

The discussion focuses on the composition of two transformations, T1 and T2, which are reflections in the Euclidean plane. T1 is the reflection about the line 2x−3y=0, and T2 is the reflection about the line 2x+5y=0. The user seeks to determine the counterclockwise rotation represented by the matrix product T1°T2. It is established that the composition of two reflections results in a rotation, and the relevant rotation matrix can be found on the Wikipedia page for rotation in mathematics.

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nicknaq
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Let T1 be the reflection about the line 2x−3y=0 and T2 be the reflection about the line 2x+5y=0 in the euclidean plane.

- first I was asked to find the T1°T2 matrix. I did that.
- now I need to find the counterclockwise rotation about the origin of T1°T2

I should use http://en.wikipedia.org/wiki/Rotation_%28mathematics%29" matrix, right? Look beneath 'matrix algebra'.

What do I do..? I don't need step-by-step instructions. Just the general concept. Thank you
 
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You already computed you answer, the T1°T2 matrix! 2 reflections are a rotation.
 

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