3-cos^2x-3sinx=0 Решить уравгение. Created by katyaaa0. matematika-ru

3-cos^2x-3sinx=0 Решить уравгение...

katyaaa0 @katyaaa0

August 2022 1 0 Report

3-cos^2x-3sinx=0
Решить уравгение

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tolstolga

Verified answer

3-cos^2 x-3sin x=0;
3-(1-sin^2 x)-3sin x=0;
3-1+sin^2 x-3sin x=0;
sin^2 x-3sin x+2=0;
sin x=a;
a^2-3a+2=0;
D=(-3)^2-4*1*2=9-8=1;
a1=(3+1)/2=2;
a2=(3-1)/2=1.

sin x=2 (не имеет решения);

sin x=1;
x=п/2+2пn.
Ответ: x=п/2+2пn

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Verified answer

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antonimy k slovam estesstvennyj prirost migraciya7ce4e478049002b727348e5abe9385e5 13292

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