tanx/2=1/2求sin(x+π/6)
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:2024/08/10 09:13:21
tanx/2=1/2求sin(x+π/6)
![tanx/2=1/2求sin(x+π/6)](/uploads/image/z/20085753-57-3.jpg?t=tanx%2F2%3D1%2F2%E6%B1%82sin%28x%2B%CF%80%2F6%29)
tan(x/2)=1/2,sinx=2tan(x/2)/[1+tan²(x/2)]=4/5,
cosx=[1-tan²(x/2)]/[1+tan²(x/2)]=3/5,
sin(x+π/6)=sinxcos(π/6)+cosxsin(π/6)=4/5*√(3)/2+3/5*1/2=[3+4√(3)]/10
cosx=[1-tan²(x/2)]/[1+tan²(x/2)]=3/5,
sin(x+π/6)=sinxcos(π/6)+cosxsin(π/6)=4/5*√(3)/2+3/5*1/2=[3+4√(3)]/10
若tanx/tanx-1=-1,求sin(π/2+x)cos(3π-x)的值
已知sin(x-45°)=四分之根号2,求sinxcosx,tanx+1/tanx
已知2tanx/1+tanx的平方=3/5求sin(π/4+x)的平方的值
已知2tanx/1+tanx=3/5,求sin(π/4+x)的值 过程
已知COS(π/4-X)=-4/5,求(SIN2X-2SIN^X)/(1+TANX)
提问数学难题求证:sin^2x*tanx+cos^2x/tanx+2sinx*cosx=tanx+1/tanx
函数f(x)=(1+1/tanx)sin^2x-2sin(x+π/4)sin(x-π/4).若tana=2,求f(a).
(1+tanx)/(1-tanx)=3+2根号2,求(sin x+cosx)^2-(cos^3x)/sinx
已知(1+tanx)/(1-tanx)=3+根号二,求cos²x+sinxcosx+2sin²x的值
已知函数f(x)=(1+1/tanx)sin^2-2sin(x+π/4)sin(x-π/4).求tana=2时,f(a)
已知sin(x-45°)=√2/4.求(1)sinxcosx值,(2)求tanx+(1/tanx)值
诱导公式的应用.1.已知1+tanx/1-tanx=3+2√2,求cos²(π-x)+sin(π+x)cos(