Respuesta :

Sinx= 1(maximum value) 

Answer:

The Maximum value of f(x)=sin(x) is 1 , when [tex]\theta = 90^{\circ}[/tex]

Step-by-step explanation:

Property of Sine function:

  • [tex]\sin \theta =0[/tex] when [tex]\theta = 0^{\circ} ,180^{\circ}, 360^{\circ}[/tex]
  • Maximum value of [tex]\sin \theta[/tex] is 1 , when [tex]\theta = 90^{\circ}[/tex]
  • Minimum value of  [tex]\sin \theta[/tex] is -1 , when [tex]\theta = 180^{\circ}[/tex]
  • Range of values of [tex]\sin \theta[/tex] is  [tex]-1\leq \sin \theta \leq 1[/tex]

Given: f(x) = sin(x)

Then, by the property of sine function:

Maximum value of f(x) is 1 , when [tex]\theta = 90^{\circ}[/tex]

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