JEE Advance - Mathematics (1997 - No. 9)
Prove that the values of the function $${{\sin x\cos 3x} \over {\sin 3x\cos x}}$$ do not lie between $${1 \over 3}$$ and 3 for any real $$x.$$
Simplify the expression using trigonometric identities.
Analyze the simplified expression to determine its range.
Show that the range of the function excludes the interval (1/3, 3).
Find the domain of the function.
All of the above.