Let \[f(\theta )=\sin \theta (\sin \theta +\sin 3\theta )\], then \[f(\theta )\] [IIT Screening 2000]

\[\le 0\]only when \[\theta \le 0\]

\[\ge 0\] only when \[\theta \ge 0\]

\[\le 0\] for all real \[\theta \]

\[\ge 0\] for all real \[\theta \]

Let \[f(\theta )=\sin \theta (\sin \theta +\sin 3\theta )\], then \[f(

1.	Let \[f(\theta )=\sin \theta (\sin \theta +\sin 3\theta )\], then \[f(\theta )\] [IIT Screening 2000]
A.	\[\ge 0\] only when \[\theta \ge 0\]
B.	\[\le 0\] for all real \[\theta \]
C.	\[\ge 0\] for all real \[\theta \]
D.	\[\le 0\]only when \[\theta \le 0\]
Answer» D. \[\le 0\]only when \[\theta \le 0\]

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Let \[f(\theta )=\sin \theta (\sin \theta +\sin 3\theta )\], then \[f(\theta )\] [IIT Screening 2000]

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