Question 16
Let $a \gt 0$ be a real number. Prove the inequality
$$
a^{\sin x} \cdot (a+1)^{\cos x} \ge a, \quad \forall x \in [0, \frac{\pi}{2}].
$$
$$
a^{\sin x} \cdot (a+1)^{\cos x} \ge a, \quad \forall x \in [0, \frac{\pi}{2}].
$$
MathNet 2017-part-05 — 176 problems (EN–VI) Question 16
Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)