A point A is rotated about point (1,2) with a rotation angle of 1/3π. If the image of point A after rotation is (3.7), determine the initial coordinates of point A before rotation.
#Geometry transformation
round wharf
fiery mothBOT
A point A is rotated about point (1,2) with a rotation angle of 1/3π. If the ima...
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candid cliff
A point A is rotated about point (1,2) with a rotation angle of 1/3π. If the ima...
The image of point $(x, y)$ rotated about point $(z, w)$ with a rotation angle of t radians is $(z, w) + (x-z, y-w)A^T$, where $A$ is the rotation matrix
$$A = \begin{pmatrix}
\cos t&-\sin t\
\sin t&\cos t
\end{pmatrix}$$
torn moonBOT
ℝafain
half stirrup
The image of point $(x, y)$ rotated about point $(z, w)$ with a rotation angle o...
Wait, then what's T?
candid cliff
Wait, then what's T?
Transpose
half stirrup
Transpose
So wait, should that be a subscript instead of a superscript?
Because it looks like an exponent.
candid cliff
So wait, should that be a subscript instead of a superscript?
The texts I learned from put the t as a superscript, maybe that differs place by place