求sin(π/14)*sin(3π/14)*sin(5π/14)的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 10:51:50
x){83O|i6jyڰ&H$v6 ) pDXBr~D2 ," 5 5,"
CM§<ٱhŹ@%vFv@d;022`" 0
Ov/U U2pVC}#Z#aGŨB
=ǐx~~qAb4mSVXOg 3@ ,
X
求sin(π/14)*sin(3π/14)*sin(5π/14)的值
求sin(π/14)*sin(3π/14)*sin(5π/14)的值
求sin(π/14)*sin(3π/14)*sin(5π/14)的值
sinπ/14 sin3π/14 sin5π/14
= cos6π/14 cos4π/14 cos2π/14
=cosπ/7 cos2π/7 cos3π/7……(1)
因为2sinθcosθ=sin2θ,
又sin3π/7=sin4π/7,sin6π/7=sinπ/7
所以 (1)*sinπ/7= sinπ/7 cosπ/7 cos2π/7 cos3π/7
=1/2 sin2π/7 cos2π/7 cos3π/7
=1/4 sin4π/7 cos3π/7
=1/4 sin3π/7 cos3π/7
=1/8 sin6π/7
=1/8 sinπ/7
而(1)*sinπ/7=1/8 sinπ/7
所以(1)式=1/8
用计算器算得:0.000000901
求sin(π/14)*sin(3π/14)*sin(5π/14)的值
2sin π/6 =sin π/3,吗,求解释,还有-sin π/6=sin- π/6吗
求sin^2α+sin^2(π/3 +α)+sin^2(π/3 -α)
已知sinα=-0.4,求下列三角函数值 sin(-α) sin(3π-α) sin(α-π) sin(α-10π)
sin(-π/3)求过程
sin(-π/3)
计算,sin(π/12)-sin(5π/12)+2sin(π/8)sin(3π/8)
化简sin(α+β)+sin(α-β)+2sinαsin(3π/2-β)=
已知sin(x+π/6)=1/3,求sin(5π/6-x)+sin^2(π/3-x)
已知sin(x+π/6)=1/4,求sin(5π/6-x)+sin^2(π/3-x)
已知sin(3π+a)=2sin[(3π/2)+a],求sin^2a+sin2a的值
sinα为第一象限角sinα=5分之3求sin(α+6分之π)
求Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)的值
令n趋近于无穷大,且n存在,求sin(π/n)+sin(2π/n)+sin(3π/n)+...+sin(π)=?.
sin(-19π/6)=?已知[3Sin(π+a)+Cos(π-a)]/4Sin(-a)-Sin(5π/2+a)=2,求tan a
三角形ABC是锐角三角形,sin²A=sin(π/3+B)sin(π/3-B)+sin²B,求角A
若(sinα+cosα)/(sinα-cosα)=2,求sin(α-5π)sin(3π/2-α)的值
设α,β,γ∈(0,π/2)且(sinα)^2+(sinβ)^2+(sinγ)^2=1求函数y=(sinα)^3/sinβ+(sinβ)^3/sinγ+(sinγ)^3/sinα 的最小值.