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化简1-2sinαcosα/cos²α-sin²α*1+2sinαcosα/1-2sin²α (3/sin²40-1/cos²40)/(2sin10)求值,帮个忙, 求证(1-2sinαcosα)/cosα^2-sinα^2α=(1-tanα)/1+tanα 已知tanα=-1/2,则(1+2sinαcosα)/(sin^2-cos^2)的值为_________. cos^α-sin^α/1+2sinαcosα=1-tanα/1+tanα 求值:3/(sin^2 20°)-1/(cos^2 20°)+64sin^2 20° 求(3/sin^2 140°-1/cos^2 140°)*1/(2sin10°)2cos(270+10)+1=2(sin10+sin30)这步看不懂。 求值:(3/sin^2140°-1/cos^2140°)*1/2sin10°^2表示平方,*是乘号 计算:(1/cos*2140°-3/sin*140°)·1/2sin10° (3/sin^2140°-1/cos^2140°)*1/2sin10°的值 设角A=-35/6π则{2sin(π+a)cos(π-a)-cocs(π+a)}/1+sin^2+sin(π-a)cos^2(π+a)为 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π+α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2(-sinα)(-cosα)+cosα/[1+sin² 求证:1+sinα+cosα+2sinαcosα/1+sinα+cosα=sinα+cosα要详解、 通俗 易懂. 化简:2sin(π-a)cos(π/2+a)/sin(π+a)+sin(π/2-a)cos(π/2-a)/cos(π+a) 化简:√(1+2sin(3π-a)cos(a-3π)/[sin(a-3π/2)-√(1-sin^2(5π/2+a))]a为第二象限角 若f(a)=[1+sin^2a+cos((3/2)π+a)-sin^2((π/2)+a)]/[2sin(π+a)cos(π-a)-cos(π-a)],且1+2sina≠a①化简f(a)②求f(π/3)的值③若a∈(-π/2,0)且f(a)=-根号3,求cos(7π/2-a)的值 设f(α)=[2sin(π+α)cos(π-α)-cos(π+α)]/[(1+sin^2α+sin(π-α)-cos^2(π-α),求f(-23π/6)的值 设f(a)=[2sin(-a)cos(π+a)-cos(π-a)]/[1+sin²(π+a)+cos(3π/2+a)-sin²(π/2+a)]求f(π/6)的值 证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4 sin^2(α)+cos(30°-a)-sinacos(30°-a)=? sin(2π/3+α)=-cosα怎么证明的是3π/2 搞错了 求证:sin 2a/1+sin a+cos a=sin a+cos a-1急 求证cos(a+b)cos(a-b)=cos^2b-sin^2a sin^2+cos^2a=tan^2+1 大家都来求证阿100例题上tmd就是这个破样子 ,搞的郁闷死了... 以知cos(a+β )=-1,求证sin(2a+β )+sinβ=0 若sin(π /6-a)=1/3,则cos(2π /3+2a)=__________ 已知sin(π/3-a)=1/3,则cos(2π/3-2a)=( ) tana=2,求sin^2a-cos^2a sin^4+sin^2cos^2+cos^2a= 证明:1+cos^2a/sin^2a=1/sin^2aRT 证明cos(a+β)cos(a-β)=cos^2a-sin^2β sin^2a+sin^2β-sin^2a*sin^2β+cos^2a*cos^2β=1 证明恒等式?各位高手 教教我