kjhgfcvb1543 kjhgfcvb1543
  • 08-01-2020
  • Mathematics
contestada

Find all the solutions of the equation 2 sin x / 3 + 3 = 0.

Respuesta :

jaunty jaunty
  • 14-01-2020

Answer:

Solutions do not exist.

Step-by-step explanation:

[tex]2sin\frac{x}{3}+3=0\\sin\frac{x}{3}=-\frac{3}{2}[/tex]

Range of sin function is [-1,1].

It can only take values varying from -1 to +1 (including both).

Hence [tex]sin\frac{x}{3}[/tex] cannot be -3/2.

Therefore the above equation has no solution.

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