Show that the quantity \[ \cos \theta\left\{\sin \theta+\sqrt{\sin ^{2} \theta+\sin ^{2} \alpha}...
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0Show that the quantity
\[
\cos \theta\left\{\sin \theta+\sqrt{\sin ^{2} \theta+\sin ^{2} \alpha}\right\}
\]
always lies between the values \( \pm \sqrt{1+\sin ^{2} \alpha} \).
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