π×5×2=10π=31.4

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已知sinx/2-cosx/2=根号10/5,x∈(π/2,π),tan(π-β)=1/2,求tan(x-2β)的值

sinx/2-cosx/2=√10/5两边平方sin^2x/2-2sinx/2cosx/2+cos^2x/2=10/25=2/5所以1-sinx=2/5sinx=1-2/5=3/5因为,x∈(π/2,

已知sina=3/5,π/2

sina=3/5cosa=-4/5sin[(ax+bx)/2]sin[(ax-bx)/2]cosa=-4/5sin2a=2sinacosa=-24/25cos4a=1-2sin^2(2a)=1-2*5

已知sina/2=根号5/5,sin(a/2-b)=-(根号10)/10且a∈(0,π)b∈(0,π/2)则角b=?

=a/2-(a/2-b)cosa/2=2√5/5cos(a/2-b)=3√10/10sinb=sina/2*cos(a/2-b)-cosa/2*sin(a/2-b)=(√5/5)*(3√10/10)-

把函数y=sin(2x-π/5)的图像上所有点向右平移π/10个单位

所有点向右平移π/10个单位,即x本身减去π/10,y=sin(2(x-π/10)-π/5)=sin(2x-2π/5)横坐标缩短为原来一半,即x系数变为原来二倍y=sin(4x-2π/5)纵坐标伸长为

已知sina/2-cosa/2=√10/5,a属于(π/2,π),tan(π-b)=1/2,求tan(a-2b)的值

sina/2-cosa/2=√10/5sina/2*cosπ/4-cosa/2*sinπ/4=√5/5sin(a/2-π/4)=√5/5因为a属于(π/2,π),所以a/2-π/4属于(0,π/4)所

已知a,B满足sina=根号5/5,cosB=3根号10/10,且a在(π/2,π),B在(3π/2,2π),求a+B的

因为a在(π/2,π),B在(3π/2,2π)则cosa=-√(1-sin^2a)=-2√5/5sinB=-√(1-cos^2B)=-√10/10sin(a+B)=sinacosB+cosasinB=

2πr^2 = (r+5)^2π

2πr^2=(r+5)^2π2r^2=(r+5)^22r^2=r^2+10r+25r^2-10r-25=0r^2-10r+25=50(r-5)^2=50r-5=±5√2r1=5+5√2r2=5-5√2

已知cos(π/2+a)=2sin(a-π/2)求sin(π-a)+cos(a+π)/5cos(5π/2-a)+3sin

已知cos(π/2+a)=2sin(a-π/2),求sin(π-a)+cos(a+π)/5cos(5π/2-a)+3sin(7π/2-a)已知就是sina=2cosa(用诱导公式)所求就是sina-c

cos(x+π)=3/5,π≤x<2π 求sin(-x-2π)

因为cos(x+π)=-cosx=3/5所以cosx=-3/5x为第三象限角则sin(-x-2π)=-sinx=4/5

已知cosa=-4/5,a(π/2,π),tan(π/4+a)等于

cosa=-4/5sina=3/5tana=-3/4tan(π/4+a)=(tanπ/4+tana)/(1-tanπ/4tana)=(1+tana)/(1-tana)=1/7

已知cos(π/2+α)=2sin(α-π/2),求[sin^3(π+α)+cos(α+π)]/[5cos(5π/2-α

cos(π/2+α)=2sin(α-π/2)即:-sinα=-2cosα得:tanα=2原式=(-sinα-cosα)/(5sinα+3cosα)分子分母同除cosα=(-tanα-1)/(5tanα

已知cos(θ+π/6)=-5/13,θ∈(π/2,π),则sin(θ+π/6)的值

θ∈(π/2,π),θ+π/6∈(2π/3,7π/6),sin(θ+π/6)=±12/13

已知sina =3/5 a∈(π/2,π) 求cos(π/4-a)

cosa=-4/5cos(π/4-a)展开即根号2/2*(3/5-4/5)答案为-根号2/10(负的十分之根号二)

若sin(π/2+x)=-4/5,x属于(π/2,π),则cos(π/3-x)=

sin(π/2+x)=cosx=-4/5x在第二象限所以sinx>0所以sinx=3/5所以原式=cosπ/3cosx+sinπ/3sinx=(-4+3√3)/10

设sina=3/5(π/2

sina=3/5(π/2

cosπ/5*cos2π/5 =(2sinπ/5*cosπ/5*cos2π/5)/(2sinπ/5) =(sin2π/5

倍角公式sin2a=2sinacosa所以2sinπ/5*cosπ/5=sin2π/5再问:是另一部再答:那就是上下同乘以2sinπ/5再问:自己看懂了,嘿嘿

sina=3/5(π/2

cosa=-4/5,所以tana=-3/4tanb=-1/2tan(a-b)=(tana-tanb)/(1+tana*tanb)=-2/11