firenour2002 firenour2002
  • 24-03-2021
  • Physics
contestada

Find the polar angle (in radians with respect to +x-axis) of −3i + j.

Respuesta :

Muscardinus Muscardinus
  • 29-03-2021

Answer:

[tex]-18.43^{\circ}[/tex]

Explanation:

Let [tex]\theta[/tex] be the polar angle of −3i + j. We can find it using the formula as follows :

[tex]\tan\theta=\dfrac{y}{x}\\\\\tan\theta=\dfrac{1}{-3}\\\\\theta=\tan^{-1}(\dfrac{1}{-3})\\\\\theta=-18.43^{\circ}[/tex]

So, the required polar angle is [tex]-18.43^{\circ}[/tex].

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