Respuesta :
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]