Verified Answer :

Sinx= 1(maximum value)

Answer:

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

Step-by-step explanation:

Property of Sine function:

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

Given: f(x) = sin(x)

Then, by the property of sine function:

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