一:求证:tanA+1/tanA=2/sin2A 二:设tanA/2=1/2,求证sinA=4/5
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/13 01:30:12
一:求证:tanA+1/tanA=2/sin2A 二:设tanA/2=1/2,求证sinA=4/5
tanA+1/tanA
=sinA/cosA+1/(sinA/cosA)
=sinA/cosA+cosA/sinA
=sin²A/sinAcosA+cosA²/sinAcosA
=(sin²A+cosA²)/sinAcosA
=1/sinAcosA
=2/2sinAcosA
=2/sin2A
tanA/2=1/2
sinA
=2tanA/2/(1+tan²A/2)
=2*1/2/(1+1/2²)
=1/(5/4)
=4/5
=sinA/cosA+1/(sinA/cosA)
=sinA/cosA+cosA/sinA
=sin²A/sinAcosA+cosA²/sinAcosA
=(sin²A+cosA²)/sinAcosA
=1/sinAcosA
=2/2sinAcosA
=2/sin2A
tanA/2=1/2
sinA
=2tanA/2/(1+tan²A/2)
=2*1/2/(1+1/2²)
=1/(5/4)
=4/5
高二推理证明 急1-tana/2+tana=1 求证3sin2a=-4cos2a我已经得出tana=-1/2sina/c
求证:2(sin2a+1)/(1+sin2a+cos2a)=tana+1
求证tana/2=sina/1+cosa
求证sin^2a*tana+cos^2a*1/tana+2sina*cosa=tana+1/tana
求证:1+sin2a/cos2a=1+tana/1-tana
求证1+sina-cosa/1+sina+cosa=tana/2
求证(cosa/2+sina/2)(cosa/2-sina/2)(1+tana*tana/2)=1
求证tan(A/2)-{1/(tanA/2)}=-2/tanA
求证tan(a/2)-1/(tana/2)=-2/tana
求证(1-2sinacosa)/[(cosa)^2-(sina)^2]=(1-tana)/(1+tana)
求证:(1+sina)/cosa=(1+tana/2)/(1-tana/2)
证明(1+sin2a)/(cosa^2-sina^2)=(1+tana)/(1-tana)