Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTrigonometric Functions1 Mark
Question
Write the maximum and minimum values of $\sin(\sin\text{x}).$
✓
Answer
$-1\le\sin(\text{x})\le1$ For $\text{x }\in [0, 2\pi]$ $\sin(\text{x})$ is maximum at $\text{x}=\frac{\pi}{2}$ and minimum at $\text{x}=\frac{3\pi}{2}.$ $\sin\Big(\sin\Big(\frac{\pi}{2}\Big)\Big)=\sin(1)=0.017$ $\sin(\sin(\pi))=\sin(1)=-\sin(1)=-0.017$ The maximum value of $\sin(\sin(\text{x}))$ is $\sin(1).$ The manimum value of $\sin(\sin(\text{x}))$ is $-\sin(1).$
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