cos2x积分等于多少
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∫x^2/2dx=x³/6+C
(1)根据图信息可知sina=4/5cosa=3/5∴(sina^2+sin2a)/(cosa^2+cos2a)=(sina^2+2sinacosa)/(cosa^2+cosa^2-sina^2)=(
cos2X=(cosX)^2-(sinX)^2=2*(cosX)^2-1
∫√﹙1+cos2x)dx=∫√2|cosx|dx=∫﹙0—π/2﹚√2cosxdx-∫(π/2—π﹚√2cosxdx=√2sinx|(0—π/2)-√2sinx|(π/2—π)=2√2
1/2*sin2x再问:过程?
(sinx/cosx+cosx/sinx)cos^2x-sin^2x=sinx*cosx+cos^3x/sinx-sin^3x/cosx-cosx*sin=(cos^4x-sin^4x)/(sinx*
f(sinx(π/2-x))=cos(π-2x)f(cosx)=-cos(2x)
题目条件不充分啊cos2x+sin2x=1cos2x=cos^2x-sin^2xsin2x=2sinxcosxcos2x+sin2x=cos^2x-sin^2x+2sinxcosx
(积分符号Pi到0)√(1-cos2x)dx=-2√2limx趋向0+,lnx=-∞e-2√2原式=+∞
0因为这个定积分产生一个常数,常数的导数是0.
∫(0,∞)e的(-3t)次方dt=-1/3*e的(-3t)次方=-1/3*(0-1)=1/3
sinx/cosx=tanx所以sin2x/cos2x=tan2x
sin2x+cos2x=√2(√2/2sin2x+√2/2*cos2x)=√2(cospai/4sin2x+sinpai/4cos2x)=√2sin(2x+pai&#4
f(sinx)=1-cos2x=2(sinx)^2,既有f(x)=2x^2,故f(cosx)=2*(cosx)^2=1+cos2x.
sin15度=cos75度因为f(cosx)=cos2x所以f(sin15度)=f(cos75度)=cos(2*75度)=cos150度=-cos30度=-根号3/2
再答:再答:若有疑问请追问哦^_^
原式=∫4cos2x/sin²2xdx=2∫cos2x/sin²2xd(2x)=2∫dsin2x/sin²2x=-2/sin2x+C再问:能把cos2x化成cos&sup
lim(x→0)(1-cos2x)/sinx=lim(x→0)2sin²x/sinx=lim(x→0)2sinx=0
limx0时1-cos2x/sinx=limx0时[(2x)²/2]/x=0