sqr(3)/2*sin(4x)+cos(4x)/2=0.6,求cos4x,sqr(3)就是根号3...
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sqr(3)/2*sin(4x)+cos(4x)/2=0.6,求cos4x,sqr(3)就是根号3...
√3/2*sin(4x)+cos(4x)/2=0.6
√3/2*sin(4x)+1/2*cos(4x)=3/5
sin(4x)cosπ/6+cos(4x)sinπ/6=3/5
sin(4x+π/6)=3/5
cos(4x+π/6)=±4/5
当cos(4x+π/6)=4/5时
cos4x
=cos(4x+π/6-π/6)
=cos(4x+π/6)cosπ/6+sin(4x+π/6)sinπ/6
=±4/5*√3/2+3/5*1/2
=(±4√3+3)/10
√3/2*sin(4x)+1/2*cos(4x)=3/5
sin(4x)cosπ/6+cos(4x)sinπ/6=3/5
sin(4x+π/6)=3/5
cos(4x+π/6)=±4/5
当cos(4x+π/6)=4/5时
cos4x
=cos(4x+π/6-π/6)
=cos(4x+π/6)cosπ/6+sin(4x+π/6)sinπ/6
=±4/5*√3/2+3/5*1/2
=(±4√3+3)/10
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