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Trignometry

Let $f(\theta)=\sin \theta(\sin \theta+\sin 3\theta)$.Then $f(\theta)$ is

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$a)\;\geq 0\;only\;when\;\theta\geq 0$

$b)\;\leq 0\;for \;all\;real\;\theta$

$c)\;\geq 0\;for\;all\;real\;\theta$

$d)\;\leq 0\;only\;when\;\theta\leq 0$

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Trignometry practice questions for JEE

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