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Math Help - Solving for an angle involving cos and sin

  1. #1
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    Solving for an angle involving cos and sin

    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?

    Also are there two angles that would satisfy this equation?
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  2. #2
    MHF Contributor ebaines's Avatar
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    Please do not double-post questions. This problem is addressed here:
    http://www.mathhelpforum.com/math-he...g-cos-sin.html
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