已知非零常数 a,b满足(acosπ/5-bsinπ/5)/(asinπ/5+bcosπ/5)=1/(tan8π/15)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/26 12:22:03
已知非零常数 a,b满足(acosπ/5-bsinπ/5)/(asinπ/5+bcosπ/5)=1/(tan8π/15),求b/a.
![已知非零常数 a,b满足(acosπ/5-bsinπ/5)/(asinπ/5+bcosπ/5)=1/(tan8π/15)](/uploads/image/z/18410008-40-8.jpg?t=%E5%B7%B2%E7%9F%A5%E9%9D%9E%E9%9B%B6%E5%B8%B8%E6%95%B0+a%2Cb%E6%BB%A1%E8%B6%B3%EF%BC%88acos%CF%80%2F5-bsin%CF%80%2F5%EF%BC%89%2F%EF%BC%88asin%CF%80%2F5%2Bbcos%CF%80%2F5%EF%BC%89%3D1%2F%EF%BC%88tan8%CF%80%2F15%EF%BC%89)
(acosπ/5-bsinπ/5)/(asinπ/5 bcosπ/5)=1/(tan8π/15),左边上下除以a.设b/a=k
cos8π/15sinπ/5+kcos8π/15cosπ/5=sin8π/15cosπ/5-ksinπ/5cos8π/15
kcos(8π/15-π/5)=sin(8π/15-π/5)
k=-tan(π/3)=-√3
cos8π/15sinπ/5+kcos8π/15cosπ/5=sin8π/15cosπ/5-ksinπ/5cos8π/15
kcos(8π/15-π/5)=sin(8π/15-π/5)
k=-tan(π/3)=-√3
已知非零实数a,b满足asinα+bcosα/acosα-bsinα=tan(α+π/6),则b/a的值为
已知实数a,b均不为零,asinα+bcosαacosα-bsinα=tanβ,且β-α=π6,则ba等于( )
1.设f(x)=asin(πx+A)+bcos(πx+B),其中a,b,A,B为非零常数,若f(2009)=-1,则f(
设函数f(x)=asin(π x+a)+bcos(π x+β)+4,其中a,b.a.β都是非零实数,若f(2011)=5
已知函数f(x)=asin(πx+α)+bcos(πx+β),其中a,b,α,β都是非零实数,且满足f(2009)=2,
设函数f(x)=asin(πx+α)+bcos(πx+β)(其中a,b,α,β为非零实数),若f(2006)=5,
设f(x)=asin (πx+α)+bcos(πx+β),其中a,b,α,β都是非零常数,若f(2011)=18/23,
已知f(x)=asin(πx+a)+bcos(πx+β),其中a,b,α,β都是非零实数.f(2012)=1,则f(20
设函数f(x)=asin(π x+a)+bcos(π x+k),其中a,b.a.k都是非零实数,且满足f(2004)=
已知函数f(x)=asin(πx+α)+bcos(πx+β),其中a,b,α,β都是非零实数.f(2008)=-1,则f
设f(x)=asin(πx+a)+bcos(πx+),其中a、b、a、B都是非零实数,若f(2009)=-1,求f(20
已知x/acosθ+y/bsinθ=1,x/asinθ-y/bcosθ=1,则x^2/a^2+y^2/b^2=