10.8

Part of I Soros Olympiad 1994-95 (Rus + Ukr)

Problems(1)

\sqrt{7+8x-16x^2}>=2^{cos^2\pi x}+.. (I Soros Olympiad 1994-95 R2 10.8)

Source:

x

for which the inequality holds

\sqrt{7+8x-16x^2} \ge 2^{\cos^2 \pi x}+2^{\sin ^2 \pi x}

algebrainequalitiestrigonometry