This problem is part of the analysis of a statics problem.
There is a force P applied to a system which is 0.589kN. I need to determine if there is such an angle that would allow us to apply 86.6% of P and still be able to cut through a board that requires 3.5kN of force to cut.
All simplified I end up with this:
3.5 = 3.03cos x + 2.04sin x
How do I solve for x? I think you take the derivative of the expression and then solve.
2.04 / 3.03 = sinx / cosx
Is this the correct approach?