Question

$3^{cos^2x} \ \textgreater \ 3^{sin^2x+0,5}$ решить неравенство

Answer 1

3^(cos²x)>3^(sin²x+0,5)

cos²x>sin²x+0,5

cos²x-sin²x>1/2

cos2x>1/2

-π/3+2πk<2x<π/3+2πk

-π/6+πk<x<π/6+πk;k€Z