Решить уравнение 3sin^2x+cos^2x-2=0. Created by dghgfty. matematika-ru

Решить уравнение 3sin^2x+cos^2x-2=0...

dghgfty @dghgfty

July 2022 1 2 Report

Решить уравнение 3sin^2x+cos^2x-2=0

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AnonimusPro

Verified answer

3(1-cos^2x)+cos^2x-2=0
3-3cos^2x+cos^2x-2=0
-2cos^2x=-1
cos^2x=1/2
1)cosx=sqrt(2)/2
x=+-pi/4+2pi*n
2)cosx=-sqrt(2)/2
x=+-3pi/4+2pi*n
Ответ: x=+-pi/4+2pi*n; x=+-3pi/4+2pi*n

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