Can following trigonometric equation be simplified:

[ireland01]

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

??

 

[dalcde]

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

 

[HallsofIvy]

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

 

[ireland01]

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:

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

 

[ireland01]

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. that's it. thanks.

 

[HallsofIvy]

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

And, by the way, it was the right side of the equation that was simplified, not the left side.

 

[ireland01]

And, by the way, it was the right side of the equation that was simplified, not the left side.

yes. thanks. corrected above.