已知tan(π/4+θ)+tan(π/4-θ)=4,且-π<θ<-π/2,求sin²θ-2sinθcosθ-cos²θ的值
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已知tan(π/4+θ)+tan(π/4-θ)=4,且-π<θ<-π/2,求sin²θ-2sinθcosθ-cos²θ的值已知tan(π/4+θ)+tan(π/4-θ)=4,且-π
已知tan(π/4+θ)+tan(π/4-θ)=4,且-π<θ<-π/2,求sin²θ-2sinθcosθ-cos²θ的值
已知tan(π/4+θ)+tan(π/4-θ)=4,且-π<θ<-π/2,求sin²θ-2sinθcosθ-cos²θ的值
已知tan(π/4+θ)+tan(π/4-θ)=4,且-π<θ<-π/2,求sin²θ-2sinθcosθ-cos²θ的值
tan( π/4 + θ ) + tan( π/4 - θ ) = 4
[ sin( π/4 + θ )cos( π/4 - θ ) + cos( π/4 + θ )sin( π/4 - θ )] / [cos( π/4 + θ )cos( π/4 - θ )] = 4
sin( π/2 ) / [cos( π/4 + θ )cos( π/4 - θ )] = 4
cos( π/4 + θ )cos( π/4 - θ ) = 1 / 4
( cos π/2 + cos 2θ ) / 2= 1 / 4
cos 2θ = 1 / 2
sin 2θ = √( 1 - cos² 2θ ) = √3 / 2
sin² θ - 2sin θ cos θ - cos² θ = - ( sin 2θ + cos 2θ ) = - (√3 + 1) / 2
已知tanα/2=2,求tanα与tan(α+π/4)
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求证(1)1+tanθ/1-tanθ=tan(π/4+θ) (2)1-tanθ/1+tanθ=tan(π/4-θ)
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tan( x/2+π/4)+tan(x/2-π/4 )=2tanxtan(x/2+π/4)+tan(x/2-π/4)=[tan(x/2)+tan(π/4)]/[1-tan(x/2)tan(π/4)]+[tan(x/2)-tan(π/4)]/[1+tan(x/2)tan(π/4)]=[tan(x/2)+1]/[1-tan(x/2)]+[tan(x/2)-1]/[1+tan(x/2)]=[(tan(x/2)+1)^2-(tan(x/2)-1)^2]/[1-(tan(x
已知(1-tanθ)/(2+tanθ)=1,求证tan2θ=-4tan(θ+π/4) 想得到就不会来问了!乱死了!
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