The number of real solutions $x$ of the equation:
$\cos^2 (x\sin(2x))+ \dfrac {1}{1+x^2}=\cos^2x+\sec^2x$?
2026-03-29 04:26:32.1774758392
Number of solutions of a trigonometric equation.
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Hint: LHS $\le 2 \le$ RHS by AM-GM inequality.