Respuesta :

Answer:

  • x = 143° and x = 323°

Step-by-step explanation:

Solving

  • 3tanx = -4
  • tanx = -4/3
  • tan values are negative in the 2nd and 4th quadrant
  • The base value is x = 53°

In Quadrant II,

  • 90° + 53°
  • ⇒ x = 143°

In Quadrant IV,

  • 270° + 53°
  • ⇒ x = 323°
  • 3tanx=-4
  • tanx=-4/3

Now

we know tan53=4/3

But it's negative

So tan is either in 2nd or 4th quadrant

For 2nd Quarter

  • x=π/2+53=90+53=143°

For 4th quadrant

  • x=3π/2+53=270+53=323°