So I know that a rational function is a function that can be defined by a rational fraction and I managed to expand $$\tan3\theta=\frac{3\tan\theta-\tan^3\theta}{1-3\tan^2\theta}$$ Is this considered as a rational function? Thanks guys.
2026-03-29 13:27:39.1774790859
Express $\tan3\theta$ as a rational function in terms of $\tan\theta$
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Yes, you have represented $\tan3\theta$ as a rational function of $\tan\theta$, because both the numerator and denominator are polynomials in $\tan\theta$.