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Thread: sol. Of f(x)=tan(0.8*x) + x=0 confuse

  1. #1
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    Question sol. Of f(x)=tan(0.8*x) + x=0 confuse

    Dear all
    sol. Of f(x)=tan(0.8*x) + x=0 is x= 0 ; 2.448218394 ; by using maple software,but in f(x)_x 2D plot can find another sol. by using matlab software,please help me to understanding which one is correct answer.

    Thank u for any help ^^
    sol.  Of  f(x)=tan(0.8*x) + x=0 confuse-matlab.png
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  2. #2
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    Re: sol. Of f(x)=tan(0.8*x) + x=0 confuse

    Are you using radians for both?
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  3. #3
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    Re: sol. Of f(x)=tan(0.8*x) + x=0 confuse

    The function f(x) = tan(0.8x) is a discontinuous function that goes from negative infinity to positive infinity in each interval -pi/1.6<x<pi/1.6, pi/1.6<x<3pi/1.6; 3pi/1.6<x<5pi/1.6, etc. Thus there is a solution for tan(0.8x)+x= 0 in each of interval, and hence there are an infinite number of solutions. See the attached plot which shows 5 intervals of the function.
    Attached Thumbnails Attached Thumbnails sol.  Of  f(x)=tan(0.8*x) + x=0 confuse-tan.jpg  
    Last edited by ChipB; Aug 18th 2016 at 09:25 AM.
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  4. #4
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    Re: sol. Of f(x)=tan(0.8*x) + x=0 confuse

    thank u for ur answer. ^^
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