King12278 King12278
  • 06-08-2017
  • Mathematics
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Sxerks Sxerks
  • 06-08-2017
[tex]y = 6tan(\frac{x}{2}) - 3[/tex]

Let y = 0, since the x-intercept occurs at y = 0.
[tex]3 = 6tan(\frac{x}{2})[/tex]
[tex]tan(\frac{x}{2}) = \frac{1}{2}[/tex]
[tex]\frac{x}{2} = tan^{-1}(\frac{1}{2})[/tex]
[tex]x = 2tan^{-1}(\frac{1}{2})[/tex]

[tex]x = 0.927295218...[/tex]

[tex]\text{General form: } x = 0.9273 + n\pi[/tex]

We know this because the tangential graph is period every pi radians. The sinusoidal and co-sinusoidal graph are periodic every 2pi radians. 
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