Sunday, February 26, 2012

How to translate a point 45 degrees on the coordinate plane?

How would one translate a point 45 degrees clockwise on the coordinate plane? I know that to translate the point 90 degrees you have to change the x and y coordinate...ex: (7,1) becomes (1,7) and change the sign of the new y coordinate making the point (1,-7)....does anyone know how to do this? Your help is greatly appreciated!How to translate a point 45 degrees on the coordinate plane?Sure. To rotate (x,y) through angle a, use:

x' = x*cos(a) + y*sin(a)

y' = y*cos(a) - x*sin(a)

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