Sin x-sin 3 - 19-tan 2 x cos x-cos 3 x

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Sum of Trigonometric Ratios in Terms of Their Product

sin x+sin 3 ×...

Question

sin x + sin 3x19.= tan 2xcosx+ cos 3x

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f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} [\frac{2 (sin x - {sin}^{3} x) + ∣ ∣ sin x - {sin}^{3} x ∣ ∣}{2 (sin x - {sin}^{3} x) - ∣ ∣ sin x - {sin}^{3} x ∣ ∣}], x \neq \frac{π}{2} f o r x \in (0, π) 3 x = \frac{π}{2} \end{matrix}

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\frac{sin x + cos x}{{cos}^{3} x} =

\int \frac{{cos}^{3} x + sin x}{{cos}^{2} x} d x

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