cosΠ 7 cos3Π 7 cos5Π 7

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不查表求值:cos5π/12·sinπ/12=

1,cos5π/12·sinπ/12=cos(π/4+π/6)*sin(π/4-π/6)=(√6-√2)/4*(√6+√2)/4=1/42.√[cos4-sin^2(2)+2]=√[cos^2(2)-

cos5π/12=sinπ/12

不对,左边等于-1/12,右边等于0

(sin5π/12+cos5π/12)(sinπ/12-cosπ/12)

(sin5π/12+cos5π/12)(sinπ/12-cosπ/12)=[sin(π/2-π/12)+cos(π/2-π/12)](sinπ/12-cosπ/12)=(cosπ/12+sinπ/12

求sin25π/6+cos5π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)-sin(-5π

sin25π/6+cos5π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)-sin(-5π/6)×cos(-5π/3)=sin(4π+π/6)+cos(2π-π/3)+ta

求证cos2π/7+cosπ/3=cosπ/7+cos3π/7

cosπ/7-cos2π/7+cos3π/7=cosπ/7+cos3π/7+cos5π/7=(2sinπ/7*cosπ/7+2sinπ/7*cos3π/7+2sinπ/7*cos5π/7)/(2sin

求值cos5π/8*cosπ8

cos5π/8*cosπ/8=-cos(π-5π/8)*cosπ/8=-cos3π/8*cosπ/8=-cos(π/2-π/8)*cosπ/8=-sin(π/8)*cosπ/8=-sin(π/4)/2

帮我解,证明恒等式(cos平方5π/12)+(cos平方π/12)+(cos5π/12)(cosπ/12)=5/4

证明cos5π/12=cos(π/2-5π/12)=sinπ/12∴cos²5π/12+cos²π/12=sin²π/12+cos²π/12=1(cos5π/1

cos5/12πcosπ/12+cosπ/12sinπ/6=?

cos5/12πcosπ/12+cosπ/12sinπ/6=cosπ/12(cos5/12π+sinπ/6)=cosπ/12(cos(π/2-π/12)+sinπ/6)=cosπ/12(sin(π/1

(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?

(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=(cosπ/12-sinπ/12)(sinπ/12+cosπ/12)=cos²(π/12)-sin²(π/

cos方5π/12+cos方π/12+cosπ/12*cos5π/12 最后等于5/4的过程.

cos²5π/12+cos²π/12+cosπ/12*cos5π/12由于cos5π/12=sin(π/2-5π/12)=sinπ/12原式=sin²π/12+cos&#

cos方5π/12+cos方π/12+cosπ/12*cos5π/12 最后等于4/5的过程.

cos^2(π/4+π/6)+cos^2(π/4-π/6)+1/2[cos(5π/12+π/12)+cos(5π/12-π/12)]=cos^2(π/4+π/6)+cos^2(π/4-π/6)+1/2

数学,证明恒等式(cos平方5π/12)+(cos平方π/12)+(cos5π/12)(cosπ/12)=5/4.

解本题就是证明cos^2(75°)+cos^2(15°)+cos(75°)cos(15°)=5/4我们用分析法证明欲证cos^2(75°)+cos^2(15°)+cos(75°)cos(15°)=5/

确定下列三角函数的符号 (1)sin156°:(2)cos5分之16π(3)cos(—450°)(

你画图就行了啊..把sin,cos,tan的图画出来就看出来了..再问:画不来才来问的……再答:额。。。再答:先做一个直角坐标系再答:sin(0)=0sin(90)=1sin(180)=0sin(27

数学极限的运算lim α→π/2 (sinα-sin5α)/(cosα+cos5α)

令x=sinα-sin5α,y=cosα+cos5α当α→π/2,x,y均趋于0由洛必达法则可得:对x,y同时求导所以x的导数为cosa-5cos5a,y的导数为-sina-5sin5a当α→π/2,

已知cos(6π-α)=√3/3 求cos5/6π+α-sin²(α-π/6)的值

cos(6π-α)=√3/3-->cosα=√3/3然后就降幂化简原式,但你的题目好像没写全

(cos5θ+i*sin5θ)^2/((cos3θ-i*sin3θ)^3)化成复数三角形式

原式=(cos10θ+i*sin10θ)/(cos9θ-i*sin9θ)=(cos10θ+i*sin10θ)/[cos(-9θ)+i*sin(-9θ)]=cos19θ+i*sin19θ.

已知角α终边上一点坐标为(sin5π/6,cos5π/6)求sinα和cosα的值

建立原点坐标,先根据角α终边上一点坐标为(sin5π/6,cos5π/6)计算出原点在该坐标的距离为1那么sinα=对边/斜边=(cos5π/6)/1=cosπ/6=√3/2cosα=邻边/斜边=(s

计算cos5分之π+cos5分之2π+cos5分之3π+cos5分之4π

(cos5分之π+cos5分之2π+cos5分之3π+cos5分之4π)=(cos5分之π+cos5分之4π++cos5分之2π+cos5分之3π)=2cos[(5分之π+5分之4π)/2]*cos[

信号与系统中,求cos2πt+cos3πt+cos5πt 角频率与周期

第一个信号的周期是1,第二个信号的周期是2/3第三个信号的周期是2/5那么这个三个信号相加的周期应是这三个信号周期的最小公倍数,即2角频率与周期的关系是:w=2πf=2π/T=π再问:加起来不是整数啊