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    ar5lan's Avatar
    ar5lan Posts: 1, Reputation: 1
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    #1

    Apr 1, 2010, 08:54 PM
    Trig Inverse Funt.
    Solve the equation for an exact solution.

    Sin(^-1) 4x + Cos (^-1)x = (pi/6)

    note (^-1) indicates it's an inverse. Thank you
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 3, 2010, 12:07 PM

    Look at the graph and try using Newton's method by staying in the domain of x as an initial guess.



    Try an initial guess of, say, -.24

    It should then converge on the exact value.

    Looking at the graph, we can see we can not go less than x=-.25

    By taking the derivative, we can see the slope approaches infinity as x closes in on -.25 and .25.

    Therefore, the value is a little more than -.25. Around -.24
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