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lora5510
@lora5510
August 2022
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решить уравнение cos^4(x)+sin^4(x)-sin(2x)+(3/4)*sin^2(2x)=0
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sedinalana
Verified answer
(1+cos2x)²/4+(1-cos2x)²/4-sin2x+3/8*(1-cos4x)=0
2+4cos2x+2cos²2x+2-4cos2x+2cos²2x-8sin2x+3-3cos4x=0
7+4cos²2x-8sin2x-3cos4x=0
7+4-4sin²2x-8sin2x-3+6sin²2x=0
sinx=a
2a²-8a+11=0
D=64-88=-24<0
нет решения
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Answers & Comments
Verified answer
(1+cos2x)²/4+(1-cos2x)²/4-sin2x+3/8*(1-cos4x)=02+4cos2x+2cos²2x+2-4cos2x+2cos²2x-8sin2x+3-3cos4x=0
7+4cos²2x-8sin2x-3cos4x=0
7+4-4sin²2x-8sin2x-3+6sin²2x=0
sinx=a
2a²-8a+11=0
D=64-88=-24<0
нет решения