锟斤拷锟斤拷锟斤拷锟矫碉拷锟絋锟斤拷(d锟斤拷o)锟斤拷式锟斤拷锟斤拷锟铰幾組锟斤拷

锟斤拷锟斤拷锟斤拷式一锟斤拷
锟斤拷锟斤拷锟絆(sh锟斤拷)α锟斤拷锟斤拷锟斤拷锟�锟斤拷锟終邊锟斤拷同锟侥角碉拷同一锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷值锟斤拷龋锟�
锟斤拷锟斤拷sin锟斤拷2kπ锟斤拷α锟斤拷锟斤拷sinα 锟斤拷k∈Z锟斤拷
锟斤拷锟斤拷cos锟斤拷2kπ锟斤拷α锟斤拷锟斤拷cosα 锟斤拷k∈Z锟斤拷
锟斤拷锟斤拷tan锟斤拷2kπ锟斤拷α锟斤拷锟斤拷tanα 锟斤拷k∈Z锟斤拷
锟斤拷锟斤拷cot锟斤拷2kπ锟斤拷α锟斤拷锟斤拷cotα 锟斤拷k∈Z锟斤拷

锟斤拷锟斤拷锟斤拷式锟斤拷锟斤拷
锟斤拷锟斤拷锟絆(sh锟斤拷)α锟斤拷锟斤拷锟斤拷牵锟�π+α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟絚α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值之锟絞锟斤拷锟絇(gu锟斤拷n)系锟斤拷
锟斤拷锟斤拷sin锟斤拷π锟斤拷α锟斤拷锟斤拷锟斤拷sinα
锟斤拷锟斤拷cos锟斤拷π锟斤拷α锟斤拷锟斤拷锟斤拷cosα
锟斤拷锟斤拷tan锟斤拷π锟斤拷α锟斤拷锟斤拷tanα
锟斤拷锟斤拷cot锟斤拷π锟斤拷α锟斤拷锟斤拷cotα

锟斤拷锟斤拷锟斤拷式锟斤拷锟斤拷
锟斤拷锟斤拷锟斤拷锟斤拷锟�α锟絚 -α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值之锟絞锟斤拷锟絇(gu锟斤拷n)系锟斤拷
锟斤拷锟斤拷sin锟斤拷锟斤拷α锟斤拷锟斤拷锟斤拷sinα
锟斤拷锟斤拷cos锟斤拷锟斤拷α锟斤拷锟斤拷cosα
锟斤拷锟斤拷tan锟斤拷锟斤拷α锟斤拷锟斤拷锟斤拷tanα
锟斤拷锟斤拷cot锟斤拷锟斤拷α锟斤拷锟斤拷锟斤拷cotα

锟斤拷锟斤拷锟斤拷式锟侥ｏ拷
锟斤拷锟斤拷锟斤拷锟矫癸拷式锟斤拷锟酵癸拷式锟斤拷锟斤拷锟皆得碉拷π-α锟絚α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值之锟絞锟斤拷锟絇(gu锟斤拷n)系锟斤拷
锟斤拷锟斤拷sin锟斤拷π锟斤拷α锟斤拷锟斤拷sinα
锟斤拷锟斤拷cos锟斤拷π锟斤拷α锟斤拷锟斤拷锟斤拷cosα
锟斤拷锟斤拷tan锟斤拷π锟斤拷α锟斤拷锟斤拷锟斤拷tanα
锟斤拷锟斤拷cot锟斤拷π锟斤拷α锟斤拷锟斤拷锟斤拷cotα

锟斤拷锟斤拷锟斤拷式锟藉：
锟斤拷锟斤拷锟斤拷锟矫癸拷式一锟酵癸拷式锟斤拷锟斤拷锟皆得碉拷2π-α锟絚α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值之锟絞锟斤拷锟絇(gu锟斤拷n)系锟斤拷
锟斤拷锟斤拷sin锟斤拷2π锟斤拷α锟斤拷锟斤拷锟斤拷sinα
锟斤拷锟斤拷cos锟斤拷2π锟斤拷α锟斤拷锟斤拷cosα
锟斤拷锟斤拷tan锟斤拷2π锟斤拷α锟斤拷锟斤拷锟斤拷tanα
锟斤拷锟斤拷cot锟斤拷2π锟斤拷α锟斤拷锟斤拷锟斤拷cotα

锟斤拷锟斤拷锟斤拷式锟斤拷锟斤拷
锟斤拷锟斤拷π/2±α锟斤拷3π/2±α锟絚α锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值之锟絞锟斤拷锟絇(gu锟斤拷n)系锟斤拷
锟斤拷锟斤拷sin锟斤拷π/2锟斤拷α锟斤拷锟斤拷cosα
锟斤拷锟斤拷cos锟斤拷π/2锟斤拷α锟斤拷锟斤拷锟斤拷sinα
锟斤拷锟斤拷tan锟斤拷π/2锟斤拷α锟斤拷锟斤拷锟斤拷cotα
锟斤拷锟斤拷cot锟斤拷π/2锟斤拷α锟斤拷锟斤拷锟斤拷tanα
锟斤拷锟斤拷sin锟斤拷π/2锟斤拷α锟斤拷锟斤拷cosα
锟斤拷锟斤拷cos锟斤拷π/2锟斤拷α锟斤拷锟斤拷sinα
锟斤拷锟斤拷tan锟斤拷π/2锟斤拷α锟斤拷锟斤拷cotα
锟斤拷锟斤拷cot锟斤拷π/2锟斤拷α锟斤拷锟斤拷tanα
锟斤拷锟斤拷sin锟斤拷3π/2锟斤拷α锟斤拷锟斤拷锟斤拷cosα
锟斤拷锟斤拷cos锟斤拷3π/2锟斤拷α锟斤拷锟斤拷sinα
锟斤拷锟斤拷tan锟斤拷3π/2锟斤拷α锟斤拷锟斤拷锟斤拷cotα
锟斤拷锟斤拷cot锟斤拷3π/2锟斤拷α锟斤拷锟斤拷锟斤拷tanα
锟斤拷锟斤拷sin锟斤拷3π/2锟斤拷α锟斤拷锟斤拷锟斤拷cosα
锟斤拷锟斤拷cos锟斤拷3π/2锟斤拷α锟斤拷锟斤拷锟斤拷sinα
锟斤拷锟斤拷tan锟斤拷3π/2锟斤拷α锟斤拷锟斤拷cotα
锟斤拷锟斤拷cot锟斤拷3π/2锟斤拷α锟斤拷锟斤拷tanα

锟斤拷锟斤拷(锟斤拷锟斤拷k∈Z)
锟斤拷锟斤拷注锟解：锟斤拷锟斤拷锟絵锟絩(sh锟斤拷)锟斤拷锟斤拷a锟斤拷锟斤拷锟絁锟角侊拷锟斤拷锟斤拷(hu锟斤拷)锟斤拷锟絕锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷锟絋锟斤拷(d锟斤拷o)锟斤拷式記锟斤拷锟斤拷锟紼

锟斤拷锟斤拷锟斤拷規(gu锟斤拷)锟缴匡拷锟結(ji锟斤拷)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟紷些锟絋锟斤拷(d锟斤拷o)锟斤拷式锟斤拷锟皆革拷锟斤拷锟介：

锟斤拷锟斤拷锟斤拷(du锟斤拷)锟斤拷π/2*k ±α(k∈Z)锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟斤拷

锟斤拷锟�锟斤拷佼锟�(d锟斤拷ng)k锟斤拷偶锟斤拷(sh锟斤拷)锟絩(sh锟斤拷)锟斤拷锟矫碉拷α锟斤拷同锟斤拷锟斤拷锟斤拷(sh锟斤拷)值锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷變锟斤拷

锟斤拷锟�锟斤拷诋锟�(d锟斤拷ng)k锟斤拷锟芥數(sh锟斤拷)锟絩(sh锟斤拷)锟斤拷锟矫碉拷α锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟洁函锟斤拷(sh锟斤拷)值锟斤拷锟斤拷sin→cos锟斤拷cos→sin锟斤拷tan→cot锟斤拷cot→tan.

锟斤拷锟�锟斤拷锟斤拷锟阶兣硷拷锟阶冿拷锟�

锟斤拷锟斤拷然锟斤拷锟斤拷前锟斤拷锟斤拷习锟�α锟斤拷锟斤拷锟絁锟角時(sh锟斤拷)原锟斤拷锟斤拷(sh锟斤拷)值锟侥凤拷號(h锟斤拷o)锟斤拷

锟斤拷锟�锟斤拷锟斤拷锟教�(h锟斤拷o)锟斤拷锟斤拷锟睫ｏ拷

锟斤拷锟斤拷锟斤拷锟界：

锟斤拷锟斤拷sin(2π锟斤拷α)锟斤拷sin(4·π/2锟斤拷α)锟斤拷k锟斤拷4锟斤拷偶锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷取sinα锟斤拷

锟斤拷锟斤拷锟斤拷(d锟斤拷ng)α锟斤拷锟絁锟角時(sh锟斤拷)锟斤拷2π锟斤拷α∈(270°锟斤拷360°)锟斤拷sin(2π锟斤拷α)锟斤拷0锟斤拷锟斤拷號(h锟斤拷o)锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷sin(2π锟斤拷α)锟斤拷锟斤拷sinα

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷記锟斤拷锟斤拷锟紼锟角ｏ拷

锟斤拷锟斤拷锟斤拷變偶锟斤拷變锟斤拷锟斤拷號(h锟斤拷o)锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷锟斤拷式锟斤拷邊锟侥凤拷號(h锟斤拷o)锟斤拷锟�α視锟斤拷锟絁锟角時(sh锟斤拷)锟斤拷锟斤拷k·360°+α锟斤拷k∈Z锟斤拷锟斤拷-α锟斤拷180°±α锟斤拷360°-α

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟睫碉拷原锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟侥凤拷號(h锟斤拷o)锟斤拷記锟斤拷

锟斤拷锟斤拷水平锟絋锟斤拷(d锟斤拷o)锟斤拷锟斤拷變锟斤拷锟斤拷號(h锟斤拷o)锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟�锟斤拷锟�

锟斤拷锟斤拷锟斤拷锟絅锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷锟侥傦拷(g锟斤拷)锟斤拷锟睫的凤拷號(h锟斤拷o)锟斤拷锟斤拷袛锟�锟斤拷也锟斤拷锟斤拷記住锟斤拷锟紼“一全锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(锟斤拷锟�)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(锟斤拷锟斤拷)”锟斤拷

锟斤拷锟斤拷锟紷十锟斤拷锟街匡拷锟紼锟斤拷锟斤拷思锟斤拷锟斤拷锟絝锟斤拷

锟斤拷锟斤拷锟斤拷一锟斤拷锟睫冿拷(n锟斤拷i)锟轿猴拷一锟斤拷(g锟斤拷)锟角碉拷锟侥種锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟斤拷锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟节讹拷锟斤拷锟睫冿拷(n锟斤拷i)只锟斤拷锟斤拷锟斤拷锟斤拷“锟斤拷”锟斤拷锟斤拷锟斤拷全锟斤拷锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟睫冿拷(n锟斤拷i)锟叫猴拷锟斤拷(sh锟斤拷)锟斤拷“锟斤拷”锟斤拷锟揭猴拷锟斤拷(sh锟斤拷)锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟睫冿拷(n锟斤拷i)只锟斤拷锟斤拷锟斤拷锟斤拷“锟斤拷”锟斤拷锟斤拷锟斤拷全锟斤拷锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷記锟斤拷锟斤拷锟紼锟斤拷一全锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟�锟斤拷锟�

锟斤拷锟斤拷還锟斤拷一锟絅锟斤拷锟秸猴拷锟斤拷(sh锟斤拷)锟斤拷头锟斤拷锟斤拷薅锟斤拷锟截�(f锟斤拷)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟� 锟斤拷一锟斤拷锟斤拷 锟节讹拷锟斤拷锟斤拷 锟斤拷锟斤拷锟斤拷锟斤拷 锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷 ...........锟斤拷............锟斤拷............—............—........

锟斤拷锟斤拷锟斤拷锟斤拷 ...........锟斤拷............—............—............锟斤拷........

锟斤拷锟斤拷锟斤拷锟斤拷 ...........锟斤拷............—............锟斤拷............—........

锟斤拷锟斤拷锟斤拷锟斤拷 ...........锟斤拷............—............锟斤拷............—........

锟斤拷锟斤拷同锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟絇(gu锟斤拷n)系

锟斤拷锟斤拷同锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟侥伙拷锟斤拷锟絇(gu锟斤拷n)系式

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟絇(gu锟斤拷n)系锟斤拷

锟斤拷锟斤拷tanα·cotα锟斤拷1

锟斤拷锟斤拷sinα·cscα锟斤拷1

锟斤拷锟斤拷cosα·secα锟斤拷1

锟斤拷锟斤拷锟教碉拷锟絇(gu锟斤拷n)系锟斤拷

锟斤拷锟斤拷sinα/cosα锟斤拷tanα锟斤拷secα/cscα

锟斤拷锟斤拷cosα/sinα锟斤拷cotα锟斤拷cscα/secα

锟斤拷锟斤拷平锟斤拷锟絇(gu锟斤拷n)系锟斤拷

锟斤拷锟斤拷sin^2(α)锟斤拷cos^2(α)锟斤拷1

锟斤拷锟斤拷1锟斤拷tan^2(α)锟斤拷sec^2(α)

锟斤拷锟斤拷1锟斤拷cot^2(α)锟斤拷csc^2(α)

锟斤拷锟斤拷同锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟絇(gu锟斤拷n)系锟斤拷锟斤拷锟斤拷記锟斤拷锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷記锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟紻片锟津參匡拷锟結锟斤拷鏈接ｏ拷

锟斤拷锟斤拷锟斤拷(g锟斤拷u)锟斤拷锟斤拷"锟斤拷锟斤拷锟斤拷锟斤拷锟叫★拷锟铰革拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟洁、锟斤拷锟絞1"锟斤拷锟斤拷锟斤拷邊锟轿烇拷模锟斤拷锟斤拷

锟斤拷锟�锟斤拷锟�1锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟絇(gu锟斤拷n)系锟斤拷锟斤拷(du锟斤拷)锟角撅拷锟较兩傦拷(g锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟介倒锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟�锟斤拷锟�2锟斤拷锟教旓拷(sh锟斤拷)锟絇(gu锟斤拷n)系锟斤拷锟斤拷邊锟斤拷锟斤拷锟斤拷一锟斤拷c(di锟斤拷n)锟较的猴拷锟斤拷(sh锟斤拷)值锟斤拷锟斤拷锟絚锟斤拷锟斤拷锟斤拷锟侥兩傦拷(g锟斤拷)锟斤拷c(di锟斤拷n)锟较猴拷锟斤拷(sh锟斤拷)值锟侥乘積锟斤拷

锟斤拷锟�锟斤拷锟斤拷锟揭�锟角兩條虛锟斤拷锟缴端碉拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟侥乘積锟斤拷锟斤拷锟缴此ｏ拷锟缴碉拷锟教旓拷(sh锟斤拷)锟絇(gu锟斤拷n)系式锟斤拷

锟斤拷锟�锟斤拷锟�3锟斤拷平锟斤拷锟絇(gu锟斤拷n)系锟斤拷锟节庯拷锟斤拷锟接帮拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷校锟斤拷锟斤拷锟缴傦拷(g锟斤拷)锟斤拷c(di锟斤拷n)锟较碉拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟斤拷平锟斤拷锟酵碉拷锟斤拷锟斤拷锟斤拷锟斤拷c(di锟斤拷n)锟较碉拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)值锟斤拷平锟斤拷锟斤拷

锟斤拷锟斤拷锟缴角和差公式

锟斤拷锟斤拷锟缴角猴拷锟絚锟斤拷锟斤拷锟斤拷呛锟斤拷锟�(sh锟斤拷)锟斤拷式

锟斤拷锟斤拷sin锟斤拷α锟斤拷β锟斤拷锟斤拷sinαcosβ锟斤拷cosαsinβ

锟斤拷锟斤拷sin锟斤拷α锟斤拷β锟斤拷锟斤拷sinαcosβ锟斤拷cosαsinβ

锟斤拷锟斤拷cos锟斤拷α锟斤拷β锟斤拷锟斤拷cosαcosβ锟斤拷sinαsinβ

锟斤拷锟斤拷cos锟斤拷α锟斤拷β锟斤拷锟斤拷cosαcosβ锟斤拷sinαsinβ

锟斤拷锟斤拷tan锟斤拷α锟斤拷β锟斤拷锟斤拷(tanα+tanβ)锟斤拷(1-tanαtanβ)

锟斤拷锟斤拷tan锟斤拷α锟斤拷β锟斤拷锟斤拷(tanα锟斤拷tanβ)锟斤拷(1锟斤拷tanα·tanβ)

锟斤拷锟斤拷锟斤拷锟斤拷锟角癸拷式

锟斤拷锟斤拷锟斤拷锟斤拷锟角碉拷锟斤拷锟斤拷锟斤拷锟斤拷锟揭猴拷锟斤拷锟叫癸拷式锟斤拷锟斤拷锟斤拷s锟角癸拷式锟斤拷

锟斤拷锟斤拷sin2α锟斤拷2sinαcosα

锟斤拷锟斤拷cos2α锟斤拷cos^2(α)锟斤拷sin^2(α)锟斤拷2cos^2(α)锟斤拷1锟斤拷1锟斤拷2sin^2(α)

锟斤拷锟斤拷tan2α锟斤拷2tanα/[1锟斤拷tan^2(α)]

锟斤拷锟斤拷锟斤拷枪锟绞�

锟斤拷锟斤拷锟斤拷堑锟斤拷锟斤拷摇锟斤拷锟斤拷液锟斤拷锟斤拷泄锟绞斤拷锟斤拷锟斤拷锟経(ku锟斤拷)锟角癸拷式锟斤拷

锟斤拷锟斤拷sin^2(α/2)锟斤拷(1锟斤拷cosα)锟斤拷2

锟斤拷锟斤拷cos^2(α/2)锟斤拷(1锟斤拷cosα)锟斤拷2

锟斤拷锟斤拷tan^2(α/2)锟斤拷(1锟斤拷cosα)锟斤拷(1锟斤拷cosα)

锟斤拷锟斤拷锟斤拷也锟斤拷tan(α/2)=(1锟斤拷cosα)/sinα=sinα/(1+cosα)

锟斤拷锟斤拷锟絝锟杰癸拷式

锟斤拷锟斤拷sinα=2tan(α/2)/[1+tan^2(α/2)]

锟斤拷锟斤拷cosα=[1-tan^2(α/2)]/[1+tan^2(α/2)]

锟斤拷锟斤拷tanα=2tan(α/2)/[1-tan^2(α/2)]

锟斤拷锟斤拷锟絝锟杰癸拷式锟狡岋拷(d锟斤拷o)

锟斤拷锟斤拷锟斤拷锟狡岋拷(d锟斤拷o)锟斤拷

锟斤拷锟斤拷sin2α=2sinαcosα=2sinαcosα/(cos^2(α)+sin^2(α))......*锟斤拷

锟斤拷锟�锟斤拷锟斤拷锟�?y锟斤拷n)锟絚os^2(α)+sin^2(α)=1锟斤拷

锟斤拷锟斤拷锟劫帮拷*锟斤拷式锟斤拷锟斤拷同锟斤拷cos^2(α)锟斤拷锟缴碉拷sin2α锟斤拷2tanα/(1锟斤拷tan^2(α))

锟斤拷锟斤拷然锟斤拷锟斤拷α/2锟斤拷锟斤拷α锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷同锟斤拷锟斤拷锟狡岋拷(d锟斤拷o)锟斤拷锟揭碉拷锟絝锟杰癸拷式锟斤拷锟斤拷锟叫碉拷锟絝锟杰癸拷式锟斤拷通锟絕锟斤拷锟揭憋拷锟斤拷锟揭得碉拷锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟角癸拷式

锟斤拷锟斤拷锟斤拷锟斤拷锟角碉拷锟斤拷锟斤拷锟斤拷锟斤拷锟揭猴拷锟斤拷锟叫癸拷式

锟斤拷锟斤拷sin3α锟斤拷3sinα锟斤拷4sin^3(α)

锟斤拷锟斤拷cos3α锟斤拷4cos^3(α)锟斤拷3cosα

锟斤拷锟斤拷tan3α锟斤拷[3tanα锟斤拷tan^3(α)]锟斤拷[1锟斤拷3tan^2(α)]

锟斤拷锟斤拷锟斤拷锟斤拷锟角癸拷式锟狡岋拷(d锟斤拷o)

锟斤拷锟斤拷锟斤拷锟狡岋拷(d锟斤拷o)锟斤拷

锟斤拷锟斤拷tan3α锟斤拷sin3α/cos3α

锟斤拷锟�锟斤拷锟�(sin2αcosα锟斤拷cos2αsinα)/(cos2αcosα-sin2αsinα)

锟斤拷锟斤拷锟斤拷(2sinαcos^2(α)锟斤拷cos^2(α)sinα锟斤拷sin^3(α))/(cos^3(α)锟斤拷cosαsin^2(α)锟斤拷2sin^2(α)cosα)

锟斤拷锟斤拷锟斤拷锟斤拷同锟斤拷锟斤拷cos^3(α)锟斤拷锟矫ｏ拷

锟斤拷锟斤拷tan3α锟斤拷(3tanα锟斤拷tan^3(α))/(1-3tan^2(α))

锟斤拷锟斤拷sin3α锟斤拷sin(2α锟斤拷α)锟斤拷sin2αcosα锟斤拷cos2αsinα

锟斤拷锟斤拷锟斤拷2sinαcos^2(α)锟斤拷(1锟斤拷2sin^2(α))sinα

锟斤拷锟�锟斤拷锟�2sinα锟斤拷2sin^3(α)锟斤拷sinα锟斤拷2sin^3(α)

锟斤拷锟斤拷锟斤拷3sinα锟斤拷4sin^3(α)

锟斤拷锟斤拷cos3α锟斤拷cos(2α锟斤拷α)锟斤拷cos2αcosα锟斤拷sin2αsinα

锟斤拷锟斤拷锟斤拷(2cos^2(α)锟斤拷1)cosα锟斤拷2cosαsin^2(α)

锟斤拷锟�锟斤拷锟�2cos^3(α)锟斤拷cosα锟斤拷(2cosα锟斤拷2cos^3(α))

锟斤拷锟斤拷锟斤拷4cos^3(α)锟斤拷3cosα

锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷sin3α锟斤拷3sinα锟斤拷4sin^3(α)

锟斤拷锟斤拷cos3α锟斤拷4cos^3(α)锟斤拷3cosα

锟斤拷锟斤拷锟斤拷锟斤拷锟角癸拷式聯(li锟斤拷n)锟斤拷記锟斤拷

锟斤拷锟斤拷锟斤拷記锟斤拷锟斤拷锟斤拷锟斤拷锟紺锟斤拷锟斤拷聯(li锟斤拷n)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟角ｏ拷3元 锟絧 4元3锟角ｏ拷欠锟斤拷锟斤拷(锟斤拷锟絧锟斤拷負(f锟斤拷)锟斤拷(sh锟斤拷))锟斤拷锟斤拷锟斤拷要“锟斤拷锟絏”(锟斤拷锟斤拷“锟斤拷锟斤拷”)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟角ｏ拷4元3锟斤拷 锟絧 3元锟斤拷锟絧锟斤拷之锟斤拷還锟斤拷“锟斤拷”锟斤拷

锟斤拷锟斤拷锟斤拷锟阶�锟解函锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟揭碉拷锟斤拷锟斤拷锟角讹拷锟斤拷锟斤拷锟揭憋拷示锟斤拷锟斤拷锟揭碉拷锟斤拷锟斤拷锟角讹拷锟斤拷锟斤拷锟揭憋拷示锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟接涳拷锟斤拷锟斤拷锟斤拷锟�

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟角ｏ拷 山锟給司锟斤拷 (锟紺锟斤拷锟斤拷 锟斤拷锟給锟斤拷锟斤拷) 锟斤拷指锟斤拷锟斤拷"3锟斤拷"sinα锟斤拷 锟給指锟斤拷锟角減號(h锟斤拷o)锟斤拷 锟斤拷指锟斤拷锟斤拷"4锟斤拷"锟斤拷 锟斤拷指锟斤拷锟斤拷sinα锟斤拷锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟角ｏ拷 司锟斤拷o山 锟絚锟斤拷同锟斤拷

锟斤拷锟斤拷锟酵差化锟絜锟斤拷式

锟斤拷锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟侥和差化锟絜锟斤拷式

锟斤拷锟斤拷sinα锟斤拷sinβ锟斤拷2sin[(α锟斤拷β)/2]·cos[(α锟斤拷β)/2]

锟斤拷锟斤拷sinα锟斤拷sinβ锟斤拷2cos[(α锟斤拷β)/2]·sin[(α锟斤拷β)/2]

锟斤拷锟斤拷cosα锟斤拷cosβ锟斤拷2cos[(α锟斤拷β)/2]·cos[(α锟斤拷β)/2]

锟斤拷锟斤拷cosα锟斤拷cosβ锟斤拷锟斤拷2sin[(α锟斤拷β)/2]·sin[(α锟斤拷β)/2]

锟斤拷锟斤拷锟絜锟斤拷锟酵差公式

锟斤拷锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟侥積锟斤拷锟酵差公式

锟斤拷锟斤拷sinα·cosβ锟斤拷0.5[sin(α锟斤拷β)锟斤拷sin(α锟斤拷β)]

锟斤拷锟斤拷cosα·sinβ锟斤拷0.5[sin(α锟斤拷β)锟斤拷sin(α锟斤拷β)]

锟斤拷锟斤拷cosα·cosβ锟斤拷0.5[cos(α锟斤拷β)锟斤拷cos(α锟斤拷β)]

锟斤拷锟斤拷sinα·sinβ锟斤拷锟斤拷0.5[cos(α锟斤拷β)锟斤拷cos(α锟斤拷β)]

锟斤拷锟斤拷锟酵差化锟絜锟斤拷式锟狡岋拷(d锟斤拷o)

锟斤拷锟斤拷锟斤拷锟狡岋拷(d锟斤拷o)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟揭傦拷知锟斤拷sin(a+b)=sina*cosb+cosa*sinb锟斤拷sin(a-b)=sina*cosb-cosa*sinb

锟斤拷锟斤拷锟揭傦拷锟窖冿拷式锟斤拷泳偷玫锟絪in(a+b)+sin(a-b)=2sina*cosb

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷sina*cosb=(sin(a+b)+sin(a-b))/2

锟斤拷锟斤拷同锟斤拷锟斤拷锟斤拷锟窖冿拷式锟斤拷锟絧锟斤拷锟酵得碉拷cosa*sinb=(sin(a+b)-sin(a-b))/2

锟斤拷锟斤拷同锟接碉拷锟斤拷锟揭傦拷還知锟斤拷cos(a+b)=cosa*cosb-sina*sinb锟斤拷cos(a-b)=cosa*cosb+sina*sinb

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟窖冿拷式锟斤拷锟�锟斤拷锟揭傦拷锟酵匡拷锟皆得碉拷cos(a+b)+cos(a-b)=2cosa*cosb

锟斤拷锟斤拷锟斤拷锟斤拷锟揭傦拷锟酵得碉拷锟斤拷cosa*cosb=(cos(a+b)+cos(a-b))/2

锟斤拷锟斤拷同锟斤拷锟斤拷锟斤拷式锟斤拷锟絧锟揭傦拷锟酵得碉拷sina*sinb=-(cos(a+b)-cos(a-b))/2

锟斤拷锟斤拷锟紷锟斤拷锟斤拷锟揭傦拷锟酵得碉拷锟剿積锟斤拷锟酵诧拷锟斤拷膫锟�(g锟斤拷)锟斤拷式锟斤拷

锟斤拷锟斤拷sina*cosb=(sin(a+b)+sin(a-b))/2

锟斤拷锟斤拷cosa*sinb=(sin(a+b)-sin(a-b))/2

锟斤拷锟斤拷cosa*cosb=(cos(a+b)+cos(a-b))/2

锟斤拷锟斤拷sina*sinb=-(cos(a+b)-cos(a-b))/2

锟斤拷锟斤拷锟斤拷锟剿積锟斤拷锟酵诧拷锟斤拷膫锟�(g锟斤拷)锟斤拷式锟皆猴拷锟斤拷锟揭傦拷只锟斤拷一锟斤拷(g锟斤拷)變锟斤拷锟斤拷锟酵匡拷锟皆得碉拷锟酵差化锟絜锟斤拷锟侥傦拷(g锟斤拷)锟斤拷式锟斤拷

锟斤拷锟斤拷锟揭傦拷锟斤拷锟斤拷锟斤拷锟侥傦拷(g锟斤拷)锟斤拷式锟叫碉拷a+b锟絆(sh锟斤拷)锟斤拷x锟斤拷a-b锟絆(sh锟斤拷)锟斤拷y锟斤拷锟斤拷么a=(x+y)/2锟斤拷b=(x-y)/2

锟斤拷锟斤拷锟斤拷a(b锟斤拷)锟斤拷b锟街別锟斤拷x锟斤拷y锟斤拷示锟酵匡拷锟皆得碉拷锟酵差化锟絜锟斤拷锟侥傦拷(g锟斤拷)锟斤拷式锟斤拷

锟斤拷锟斤拷sinx+siny=2sin((x+y)/2)*cos((x-y)/2)

锟斤拷锟斤拷sinx-siny=2cos((x+y)/2)*sin((x-y)/2)

锟斤拷锟斤拷cosx+cosy=2cos((x+y)/2)*cos((x-y)/2)

锟斤拷锟斤拷cosx-cosy=-2sin((x+y)/2)*sin((x-y)/2)

锟斤拷锟絇(gu锟斤拷n)锟斤拷锟絔锟斤拷

锟斤拷锟斤拷锟竭匡拷锟斤拷(sh锟斤拷)锟絎(xu锟斤拷)知锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟絉锟斤拷

锟斤拷锟铰高匡拷锟結訊锟斤拷锟竭匡拷锟斤拷锟斤拷锟斤拷锟斤拷前锟斤拷(zh锟斤拷n)锟斤拷锟斤拷志愿锟斤拷锟�(b锟斤拷o)锟斤拷锟饺★拷锟�?j锟斤拷n)?sh锟斤拷)锟斤拷锟斤拷

锟竭匡拷锟絩(sh锟斤拷)锟絞锟斤拷锟斤拷全锟斤拷锟斤拷要锟斤拷(ji锟斤拷)锟絚(di锟斤拷n)

锟組锟斤拷"锟竭匡拷锟絎(w锟斤拷ng)"微锟脚癸拷锟斤拷號(h锟斤拷o)