sin瞲 cos硏 dx 0 to Π

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(cosπ/12-sinπ/12)*(COSπ/12+sinπ/12)等于

=(cos15°)平方-(sin15°)平方=cos(15+15)=(根号3)/2

cos*π/12—sin*π/12

原式=根号2*(根号2/2*cosπ/12—根号2/2*sinπ/12)=根号2*(sinπ/4cosπ/12—cosπ/4sinπ/12)=根号2*sin(π/4-π/12)=根号2*sin(π/6

计算cosπ/12*sinπ/12

=(1/2)sinπ/6=(1/2)×(1/2)=1/4这题是代入sin2α=2sinαcosα求得的

化简sin(π+a)cos(-a)+sin(2π-a)cos(π-a)

sin(π+a)cos(-a)+sin(2π-a)cos(π-a)=-sinacosa+sinacosa=0

求值:sin(π/12)+cos(π/12)

[sin(π/12)+cos(π/12)]^2=[sin(π/12)]^2+2sin(π/12)*cos(π/12)+[cos(π/12)]^2=1+22sin(π/12)*cos(π/12)=1+s

sin、cos二分之π等于多少?

即sin90度等于一;cos90度等于零,这个很好记的sin即九十度y轴的值;cos即x轴

cos sin π √

√2sin(x/2+π/4)=sinx/2+cosx/2tan(x/2-π/4)=-cot(x/2+π/4)a*b=√2sin(x+π/4)f(x)的导数=√2cos(x+π/4)f(x)加上f(x)

怎样化简函数 cosπ/4cosπ/3-sinπ/4sinπ/3

cosπ/4cosπ/3-sinπ/4sinπ/3=cos45°cos60°-sin45°sin60°=(√2/2)*(1/2)-(√2/2)*(√3/2)=(√2-√6)/4

sin(πcosx)=cos(πsinx)

sin(πcosx)=cos(πsinx)πcosx+πsinx=π/2cosx+sinx=1/2平方1+2sinxcosx=1/4sinxcosx=-3/8所以sinx=(1±√7)/4x=arcs

化简[cos(a-π)/sin(π-a)]sin(a-π/2)cos(π/2+a)=

[cos(a-π)/sin(π-a)]sin(a-π/2)cos(π/2+a)=[-cosa/sina](-cosa)(-sina)=-cos^2a再问:还有一个,在下面~再答:化简[cos(2π-a

sin(2π-a)cos(π/2-a)/cos(π-a)sin(π/2+a)

sin(2π-a)=-sinacos(π/2-a)=sinacos(π-a)=-cosasin(π/2+a)=cosasin(2π-a)cos(π/2-a)/cos(π-a)sin(π/2+a)=ta

sin(π/10)cos(π/5)

原式=2sin(π/10)cos(π/10)cos(π/5)/2cos(π/10)=sin(π/5)cos(π/5)/2cos(π/10)=2sin(π/5)cos(π/5)/4cos(π/10)=s

化简:sin(-a)cos(2π+a)sin(-a-π)

-sinacosasina=-sin^2acosa

(cosπ/8+sinπ/8)(cos^3π/8-sin^3π/8)

是要化简吗?(cosπ/8+sinπ/8)(cos³3π/8-sin³3π/8)=(cosπ/8+sinπ/8)(cosπ/8-sinπ/8)(cos²3π/8+cos3

α∈(0,π/2 ),比较 sin(cosα) 与cos(sinα)大小

先证明f(x)=sinx-xx∈(0,π/2)是一个减函数,可知sinx

θ∈(0,π/2),比较cosθ、sin(cosθ)、cos(sinθ)的大小

θ∈(0,π/2)sinθcosθθ∈(0,π/2)cosθ∈(0,1)又sinθ

1.化简sin²α+cosαcos(π/3+α)-sin²(π/6-α)

1sin²α+cosαcos(π/3+α)-sin²(π/6-α)=sin²α+cosα(cosπ/3cosα-sinπ/3sina)-(sinπ/6cosα-cosπ/

(cos π/8+ sin π/8 ) (cos^3 π/8+sin^3 π/8 )的值.

(cosπ/8+sinπ/8)(cos^3π/8+sin^3π/8)=[(cosπ/8+sinπ/8)^2](cos^2π/8-cosπ/8sinπ/8+sin^2π/8)=(1+2cosπ/8sin