Prove-that-a-2-tan-k-x-b-2-sin-k-x-gt-2abx-k-for-all-x-0-pi-2-and-positive-integer-k-

Question Number 158534 by HongKing last updated on 05/Nov/21

Prove that a^{2} \tan^{k} x + b^{2} \sin^{k} x > {2 abx}^{k}

for all x \in (0; \frac{π}{2}) and positive integer k