设函数f(x)=p·q,其中向量p=(sin x,cos x+sin x),q=(2cos x,cos sin x) (
人气：479 ℃ 时间：2020-05-01 11:24:42
解答
令p=sinx+i（cosx+sinx),q=2cosx+i（cosx+sinx)f(x)=p*q=2sinxcosx-(sinx+cosx)^2+i(2cos^2x+2sinxcosx+sinxcosx+sin^2x)=-1+i(3sinxcosx+cos^2(x)+1)=-1+i{√10/2sin[2x+arc(√10/10)]+1}
推荐
- 设函数f(x)=a*b,其中向量a=(2cos x,1),b=(cos x,根号3 sin 2x),x属于R.
- 已知向量a=(sin x,cos x+sin x),b=(2cos x,cos x-sin x),x∈R,设函数f(x)=ab
- 已知向量a=(sinα,cosα),向量b=(6sinα+cosα,7sinα-2cosα),设函数f(α)=向量a*向量b.
- 设函数f（x）=（sinωx+cosωx）^ 2+2cos^2 ωx（ω＞0）的最小正周期为2π/3
- 已知向量a=(sin(ωx+φ),2),b=(1,cos(ωx+φ))(ω>0,0
- 鱼虱子为什么能浮在水面上?请用物理知识回答.
- 味觉和嗅觉感受器均感受什么信息,两者相互影响形成味觉
- After having been wounded towards the end of the war,he had been sent to hospital and was separated from his unit.
猜你喜欢
