Срочно sin(в четвертой степени)-cos(в четвертой степени)=0,5. Created by AiDanExt. algebra-ru

Срочно sin(в четвертой степени)-cos(в четвертой степени)=0,5...

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Срочно sin(в четвертой степени)-cos(в четвертой степени)=0,5

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Sin^4 x - cos^4 x = 0,5
(sin^2 x - cos^2 x)( sin^2 x + cos^2 x ) = sin^2 x - cos^2 x = 0,5
-cos 2x = 0,5
cos 2x = -0,5
2x = +-2pi/3 + 2pi*k
x = +-pi/3 + pi*k

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oganesbagoyan

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Sin⁴x - cos⁴x =0,5 ;
(sin²x - cos²x )*( sin²x + cos²x) = 0,5 ; * * * sin²x + cos²x =1 * * *
cos²x -sin²x = -1/2 ;
cos2x = -1/2 ;
2x = ±(π -π/3) +2πn , n∈Z.
x = ±π/3 +πn , n∈Z.

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