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katriiinmm
@katriiinmm
August 2022
1
5
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Помогите решить,пожалуйста.
cos(0.5x)-√3sin(0.5x)+1=0
sin^2(0.5x)=cos^2(3.5x)
sin(x/3)+cos(x/3)=1
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Vamdemon
1) 2(1/2cos0.5x-√3/2sin0.5x)+1=0;
2cos(П/3+0.5x)=-1
cos(П/3+0.5x)=-1/2
П/3+0.5х=-П/3+2Пn
x=-4П/3+4Пn
2)1-cos x=1+cos 7x
2cos4xcos3x=0
x1=П/6+Пn/3
x2=П/8+Пn/4
3)√1-sin^2x/3=1-sinx/3
sinx/3(sinx/3-1)=0
x1=3Пn
x2=3П/2+2Пn
2 votes
Thanks 1
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Answers & Comments
2cos(П/3+0.5x)=-1
cos(П/3+0.5x)=-1/2
П/3+0.5х=-П/3+2Пn
x=-4П/3+4Пn
2)1-cos x=1+cos 7x
2cos4xcos3x=0
x1=П/6+Пn/3
x2=П/8+Пn/4
3)√1-sin^2x/3=1-sinx/3
sinx/3(sinx/3-1)=0
x1=3Пn
x2=3П/2+2Пn