Final Answer:
To change the angle of rotation for these cells to counterclockwise at 45 degrees, you can use the transform function in a graphics program and set the rotation angle to -45 degrees.
Step-by-step explanation:
In computer graphics, transformations are used to manipulate shapes and objects. One such transformation is rotation, which changes the orientation of an object around a fixed point called the origin. The angle of rotation is measured in degrees, with 0 degrees being no rotation (the object is facing up), and 90 degrees being a quarter turn (the object is facing sideways).
To rotate an object counterclockwise, we need to set a negative angle. In this case, we want to rotate by -45 degrees. This will rotate the object by a quarter turn in the counterclockwise direction.
To apply this transformation, we can use the transform function in a graphics program. The syntax for this function varies depending on the program, but it generally involves specifying the transformation matrix that describes the desired transformation.
In our case, we want to rotate by -45 degrees around the origin. The transformation matrix for this rotation is:
[ cos(-45) sin(-45) ] [ -0.7071 -0.7071 ]
[ sin(-45) cos(-45) ] [ 0.7071 0.7071 ]
This matrix represents a counterclockwise rotation of -45 degrees around the origin. To apply this transformation, we can pass this matrix to the transform function in our graphics program. The exact syntax may vary depending on the program, but it will generally involve specifying the matrix as an argument to the function.
For example, in OpenGL (a popular graphics API), we can use the glRotatef() function to apply this transformation:
glRotatef(-45, 0, 0, 1); // Rotate around Z-axis by -45 degrees
This will rotate our objects by -45 degrees around the Z-axis (the axis that points out of the screen). By applying this transformation to our objects, we can achieve a counterclockwise rotation at an angle of -45 degrees.