Respuesta :

fieryanswererft

x - y = 0  is the standard form of the polar equation θ = -135

   

[tex]\sf \theta \ =-135[/tex]

  • we should know tan(-135) is 1

[tex]\rightarrow \sf tan(\theta) \ =tan(-135)[/tex]

[tex]\rightarrow \sf tan(\theta) \ =1[/tex]

[tex]\rightarrow \sf \dfrac{y}{x} \ = 1[/tex]

[tex]\rightarrow \sf y =x[/tex]

[tex]\rightarrow \sf x -y = 0[/tex]

[tex]\\ \rm\Rrightarrow \theta=-135[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=tan(-135)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{Perpendicular}{Base}=tan(-\dfrac{3\pi}{4})[/tex]

  • Perpendicular is y and base is x

[tex]\\ \rm\Rrightarrow \dfrac{y}{x}=1[/tex]

[tex]\\ \rm\Rrightarrow y=x[/tex]

  • Convert to standard form Ax+By+C=0

[tex]\\ \rm\Rrightarrow x-y=0[/tex]

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