Composition Of 2 Consecutive Rotations Are Equal

Note the icon above, A' is a betoken A shadow past times rotation equally far equally α clock direction amongst centre P as well as A" is the shadow of betoken A' past times rotation equally far equally β clockwise amongst centre P also. it appears that the mapping from A to A" is (α + β) is clockwise amongst centre P. Thus nosotros tin strength out depict the conclusion:

Two consecutive rotations are equal to a rotation equally far equally the release of each of the master rotais of the same center.

Example:
A(-2, 6) is rotated equally far equally 65° clockwise amongst centre O followed past times a clockwise rotation of 70° amongst centre O equally well. Determine the betoken Influenza A virus subtype H5N1 shadow!

Answer:
a = -65° (clockwise)
B = -70°(clockwise)
a + B = -65° + (-70°)
a + b = -135°

The matrix of the inwards a higher house rotation composition is:

Specifying the shadow A is equally follows:

Similarly this article.
Sorry if in that place is a incorrect word.
The terminate of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting as well as sales