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  • 07-04-2022
  • Mathematics
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Sketch the graph for y=cot ^-1 (cot x)
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semsee45
semsee45 semsee45
  • 07-04-2022

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

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

[tex]\sf \implies y=x\pm\pi n[/tex]

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