6sin^2(x)-sin(x)-1≤0. Created by Kubns. matematika-ru

6sin^2(x)-sin(x)-1≤0...

July 2022 1 13 Report

6sin^2(x)-sin(x)-1≤0

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zarembo73 6sin²x-sinx-1≤0;
sinx=t, -1≤t≤1;
6t²-t-1≤0;
D=1+24=25;
t1=(1-5)/12=-4/12=-1/3∈[-1;1];
t2=(1+5)/12=6/12=1/2∈[-1;1];
6(t+1/3)(t-1/2)≤0;
(t+1/3)(t-1/2)≤0;
-1/3≤t≤1/2;
-1/3≤sinx≤1/2;
sinx≥-1/3;
arcsin(-1/3)+2πn≤x≤π-arcsin(-1/3)+2πn, n∈Z;
-arcsin1/3+2πn≤x≤π+arcsin1/3+2πn, n∈Z;
sinx≤1/2;
-π-arcsin1/2+2πn≤x≤arcsin1/2+2πn, n∈Z;
-π-π/6+2πn≤x≤π/6+2πn, n∈Z;
-7π/6+2πn≤x≤π/6+2πn, n∈Z.
Ответ: [-arcsin1/3+2πn; π+arcsin1/3+2πn]∪[-7π/6+2πn; π/6+2πn], n∈Z;

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Answers & Comments

4sin^2x-15cos^2x=4sinxcosx...

17 kak reshit96a8b2013b2c94d76c0588d6f5f43ae0 78769

tgx24ctgx2 reshite uravnenie zaranee spasibo

SinX*cosY=0,75 CtgX*ctgY=3...

nomer 30 zaranee spasibo

kub rebro ravno 10 najti km

рекомендуемые вопросы

Helpful Links

Helpful Social

SinXcosY=0,75 CtgXctgY=3...