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What is the solution to the trigonometric inequality 2sin(x)+3>sin^2(x) over the interval 0<=x<=2pi radians?

What is the solution to the trigonometric inequality 2sinx3gtsin2x over the interval 0ltxlt2pi radians class=

Respuesta :

skunwar27

Answer:

Oh gosh, this was very hard, Answer - C on edge 2021

Please thank me

Step-by-step explanation:
  • 2sinx+3>sin²x
  • 2sinx-sin²x+3>0
  • (sinx-3)(sinx+1)<0

Take 3π/2

sin²(3π/2)<2sin(3π/2)+3

  • (-1)²<-2+3
  • 1<1

If less than turns equal to then it's true

Take 2π

  • sin²(2π)<2sin2π+3
  • 0<3

True

Option D is correct