I cannot seem to simplify the following:
$$\frac{2\cos(2x+h)}{\sin(2x+2h)^{\frac{2}{3}}+\sin(2x+2h)^{\frac{1}{3}}\sin(2x)^{\frac{1}{3}}+\sin(2x)^{\frac{2}{3}} }$$
simplified to:
$$\frac{2\cos(2x)}{3\sin(2x)^{\frac{2}{3}}}$$
Thanks!
2026-04-24 02:17:13.1776997033
Simplifying Trigonometric Quotient
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Hint: Let $h$ get very small and approach $0$. The numerator is easy; what do you notice about the denominator (especially the middle term)?