已知sinb/sina=cos(a+b)求证:tanb=sin2a/(3-cos2a)
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/10 16:10:51
已知sinb/sina=cos(a+b)求证:tanb=sin2a/(3-cos2a)
a,b为锐角
a,b为锐角
sinb/sina=cos(a+b)
sinb/sina=cosacosb - sinasinb
sinb = sinacosacosb - sin²a sinb
sinb/cosb = sinacosa - sin²asinb/cosb
tanb = (1/2)sin2a - sin²atana
(1+sin²a) tanb = (1/2)sin2a
tanb = sin2a /[2(1+sin²a)]
tanb = sin2a /[2+2sin²a]
= sin2a /[3-1+2sin²a]
= sin2a /(3-cos2a)
sinb/sina=cosacosb - sinasinb
sinb = sinacosacosb - sin²a sinb
sinb/cosb = sinacosa - sin²asinb/cosb
tanb = (1/2)sin2a - sin²atana
(1+sin²a) tanb = (1/2)sin2a
tanb = sin2a /[2(1+sin²a)]
tanb = sin2a /[2+2sin²a]
= sin2a /[3-1+2sin²a]
= sin2a /(3-cos2a)
已知sinA=2sinB,tanA=3tanB,求证cos^2 A=3/8
已知sina=2sinb,tana=3tanb,求cos^2a的值
已知sina+2cosa=0.求(cos2a-sin2a)除以(1+COS平方a)
已知 A+B+C=π,sinA+sinB+sinC=cosA+cosB+cosC.求 ( cos2A+cos2B+cos
已知cos(a-b)=3/1,求(sina+sinb)(sina+sinb)+(cosa+cosb)(cosa+cosb
已知A,B为锐角且3(sinA)^2+2(sinB)^2=1,3sin2A-2sin2B=0.求证:A+2B=90度
已知sin2a+sina*cosa-cos2a=1 a属于(0,π) 求sina
求证:cos(a+b)=cosa*cosb-sina*sinb
三角函数 证明题已知a,b是锐角且3*(sina)^2+2(sinb)^2=1,3sin2a=2sin2b,求证:a+2
a,b属于(0,π/2),满足sinB/sinA=cos(A+B).求证tan(A+B)=2tana,tanb=(sin
已知a为锐角,sina=tan(a-b)=3分之1.求cos2a和tanb的值?
已知a b 都是锐角,且3(sina)2 +2(sinb)2=1,3sin2a -2sin2b=0,求证a+2b=π÷2