# Verify this!

Geometry Level 4

$\sin x+\tan^2 x+\sin^3 x+\tan^4 x+\cdots+\sin^{2n-1}x+\tan^{2n}x>\sqrt{2}$ With $$n\in\mathbb{N^*}$$ and $$x\in \left(0;\frac{\pi}{6}\right)$$, what can be said about the above inequality.

×