A small note on your LaTeX use: If you use \sin, the sin will be upright (instead of italics), which is considered standard use for math operators (other operat

A small note on your LaTeX use: If you use \sin, the sin will be upright (instead of italics), which is considered standard use for math operators (other operators of the top of my had that also use this: tan, cos, log, dim, deg). If you encounter an operator, where the corresponding command with \ does not exist, you can create it with \DeclareMathOperator{\operator}{operator}