# Can following trigonometric equation be simplified:

Fx = sin [ 90 - theta ] * [ dX - [tan (theta) * dY ] ]

??

Do you mean
$$f(x)=\sin(90-\theta)[dX-(tan\theta)dY]$$
or what? I don't really understand what you wrote.

HallsofIvy
Homework Helper
sin(90- theta)= cos(theta) is one simplification.

Do you mean
$$f(x)=\sin(90-\theta)[dX-(tan\theta)dY]$$
or what? I don't really understand what you wrote.

Yes. I mean variables are arbitrary. I just want to know if the left side of the eqn can be simplified at all.

uart
Without trying to interpret exactly what Fx, dX or dY denote the simple answer is yes, there are two obvious trigonometric simplifications that result in:

$$\mbox{Fx} = \cos(\theta) \, dX - \sin(\theta) \, dY$$

Without trying to interpret exactly what Fx, dX or dY denote the simple answer is yes, there are two obvious trigonometric simplifications that result in:

$$\mbox{Fx} = \cos(\theta) \, dX - \sin(\theta) \, dY$$

yeah. thats it. thanks.

HallsofIvy