已知sin(x+π/4)=-5/13,则sin2x的值?
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已知sin(x+π/4)=-5/13,则sin2x的值?已知sin(x+π/4)=-5/13,则sin2x的值?已知sin(x+π/4)=-5/13,则sin2x的值?sin(π/4+x)=-5/13
已知sin(x+π/4)=-5/13,则sin2x的值?
已知sin(x+π/4)=-5/13,则sin2x的值?
已知sin(x+π/4)=-5/13,则sin2x的值?
sin(π/4+x)=-5/13
sinxcosπ/4+cosxsinπ/4=-5/13
√2/2(sinx+cosx)=-5/13
sinx+cosx = -5√2/13
(sinx+cosx)^2 = (-5√2/13)^2
sin^2x+cos^2x+2sinxcosx=50/169
1+sin2x=50/169
sin2x = -119/169
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cos(2x+π/2)=cos[2(x+π/4)]=1-2[sin(x+π/4)]^2=119/169
根据诱导公式:cos(2x+π/2)=-sin2x
所以sin2x=-119/169
我的答案是否更好呢?
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