高一诱导公式 高一数学所有三角函数诱导公式

\u9ad8\u4e00\u6570\u5b66\u8bf1\u5bfc\u516c\u5f0f

\u2605\u8bf1\u5bfc\u516c\u5f0f\u2605
\u5e38\u7528\u7684\u8bf1\u5bfc\u516c\u5f0f\u6709\u4ee5\u4e0b\u51e0\u7ec4\uff1a
\u516c\u5f0f\u4e00\uff1a
\u8bbe\u03b1\u4e3a\u4efb\u610f\u89d2\uff0c\u7ec8\u8fb9\u76f8\u540c\u7684\u89d2\u7684\u540c\u4e00\u4e09\u89d2\u51fd\u6570\u7684\u503c\u76f8\u7b49\uff1a
sin\uff082k\u03c0\uff0b\u03b1\uff09\uff1dsin\u03b1
cos\uff082k\u03c0\uff0b\u03b1\uff09\uff1dcos\u03b1
tan\uff082k\u03c0\uff0b\u03b1\uff09\uff1dtan\u03b1
cot\uff082k\u03c0\uff0b\u03b1\uff09\uff1dcot\u03b1
\u516c\u5f0f\u4e8c\uff1a
\u8bbe\u03b1\u4e3a\u4efb\u610f\u89d2\uff0c\u03c0+\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e0e\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a
sin\uff08\u03c0\uff0b\u03b1\uff09\uff1d\uff0dsin\u03b1
cos\uff08\u03c0\uff0b\u03b1\uff09\uff1d\uff0dcos\u03b1
tan\uff08\u03c0\uff0b\u03b1\uff09\uff1dtan\u03b1
cot\uff08\u03c0\uff0b\u03b1\uff09\uff1dcot\u03b1
\u516c\u5f0f\u4e09\uff1a
\u4efb\u610f\u89d2\u03b1\u4e0e -\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a
sin\uff08\uff0d\u03b1\uff09\uff1d\uff0dsin\u03b1
cos\uff08\uff0d\u03b1\uff09\uff1dcos\u03b1
tan\uff08\uff0d\u03b1\uff09\uff1d\uff0dtan\u03b1
cot\uff08\uff0d\u03b1\uff09\uff1d\uff0dcot\u03b1
\u516c\u5f0f\u56db\uff1a
\u5229\u7528\u516c\u5f0f\u4e8c\u548c\u516c\u5f0f\u4e09\u53ef\u4ee5\u5f97\u5230\u03c0-\u03b1\u4e0e\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a
sin\uff08\u03c0\uff0d\u03b1\uff09\uff1dsin\u03b1
cos\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dcos\u03b1
tan\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dtan\u03b1
cot\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dcot\u03b1
\u516c\u5f0f\u4e94\uff1a
\u5229\u7528\u516c\u5f0f\u4e00\u548c\u516c\u5f0f\u4e09\u53ef\u4ee5\u5f97\u52302\u03c0-\u03b1\u4e0e\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a
sin\uff082\u03c0\uff0d\u03b1\uff09\uff1d\uff0dsin\u03b1
cos\uff082\u03c0\uff0d\u03b1\uff09\uff1dcos\u03b1
tan\uff082\u03c0\uff0d\u03b1\uff09\uff1d\uff0dtan\u03b1
cot\uff082\u03c0\uff0d\u03b1\uff09\uff1d\uff0dcot\u03b1
\u516c\u5f0f\u516d\uff1a
\u03c0/2\u00b1\u03b1\u53ca3\u03c0/2\u00b1\u03b1\u4e0e\u03b1\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a
sin\uff08\u03c0/2\uff0b\u03b1\uff09\uff1dcos\u03b1
cos\uff08\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dsin\u03b1
tan\uff08\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dcot\u03b1
cot\uff08\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dtan\u03b1
sin\uff08\u03c0/2\uff0d\u03b1\uff09\uff1dcos\u03b1
cos\uff08\u03c0/2\uff0d\u03b1\uff09\uff1dsin\u03b1
tan\uff08\u03c0/2\uff0d\u03b1\uff09\uff1dcot\u03b1
cot\uff08\u03c0/2\uff0d\u03b1\uff09\uff1dtan\u03b1
sin\uff083\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dcos\u03b1
cos\uff083\u03c0/2\uff0b\u03b1\uff09\uff1dsin\u03b1
tan\uff083\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dcot\u03b1
cot\uff083\u03c0/2\uff0b\u03b1\uff09\uff1d\uff0dtan\u03b1
sin\uff083\u03c0/2\uff0d\u03b1\uff09\uff1d\uff0dcos\u03b1
cos\uff083\u03c0/2\uff0d\u03b1\uff09\uff1d\uff0dsin\u03b1
tan\uff083\u03c0/2\uff0d\u03b1\uff09\uff1dcot\u03b1
cot\uff083\u03c0/2\uff0d\u03b1\uff09\uff1dtan\u03b1
(\u4ee5\u4e0ak\u2208Z)
\u6ce8\u610f\uff1a\u5728\u505a\u9898\u65f6\uff0c\u5c06a\u770b\u6210\u9510\u89d2\u6765\u505a\u4f1a\u6bd4\u8f83\u597d\u505a\u3002
[\u7f16\u8f91\u672c\u6bb5]\u8bf1\u5bfc\u516c\u5f0f\u8bb0\u5fc6\u53e3\u8bc0
\u203b\u89c4\u5f8b\u603b\u7ed3\u203b
\u4e0a\u9762\u8fd9\u4e9b\u8bf1\u5bfc\u516c\u5f0f\u53ef\u4ee5\u6982\u62ec\u4e3a\uff1a
\u5bf9\u4e8e\u03c0/2*k \u00b1\u03b1(k\u2208Z)\u7684\u4e09\u89d2\u51fd\u6570\u503c\uff0c
\u2460\u5f53k\u662f\u5076\u6570\u65f6\uff0c\u5f97\u5230\u03b1\u7684\u540c\u540d\u51fd\u6570\u503c\uff0c\u5373\u51fd\u6570\u540d\u4e0d\u6539\u53d8\uff1b
\u2461\u5f53k\u662f\u5947\u6570\u65f6\uff0c\u5f97\u5230\u03b1\u76f8\u5e94\u7684\u4f59\u51fd\u6570\u503c\uff0c\u5373sin\u2192cos;cos\u2192sin;tan\u2192cot,cot\u2192tan.
\uff08\u5947\u53d8\u5076\u4e0d\u53d8\uff09
\u7136\u540e\u5728\u524d\u9762\u52a0\u4e0a\u628a\u03b1\u770b\u6210\u9510\u89d2\u65f6\u539f\u51fd\u6570\u503c\u7684\u7b26\u53f7\u3002
\uff08\u7b26\u53f7\u770b\u8c61\u9650\uff09
\u4f8b\u5982\uff1a
sin(2\u03c0\uff0d\u03b1)\uff1dsin(4\u00b7\u03c0/2\uff0d\u03b1)\uff0ck\uff1d4\u4e3a\u5076\u6570\uff0c\u6240\u4ee5\u53d6sin\u03b1\u3002
\u5f53\u03b1\u662f\u9510\u89d2\u65f6\uff0c2\u03c0\uff0d\u03b1\u2208(270\u00b0\uff0c360\u00b0)\uff0csin(2\u03c0\uff0d\u03b1)\uff1c0\uff0c\u7b26\u53f7\u4e3a\u201c\uff0d\u201d\u3002
\u6240\u4ee5sin(2\u03c0\uff0d\u03b1)\uff1d\uff0dsin\u03b1
\u4e0a\u8ff0\u7684\u8bb0\u5fc6\u53e3\u8bc0\u662f\uff1a
\u5947\u53d8\u5076\u4e0d\u53d8\uff0c\u7b26\u53f7\u770b\u8c61\u9650\u3002
\u516c\u5f0f\u53f3\u8fb9\u7684\u7b26\u53f7\u4e3a\u628a\u03b1\u89c6\u4e3a\u9510\u89d2\u65f6\uff0c\u89d2k\u00b7360\u00b0+\u03b1\uff08k\u2208Z\uff09\uff0c-\u03b1\u3001180\u00b0\u00b1\u03b1\uff0c360\u00b0-\u03b1
\u6240\u5728\u8c61\u9650\u7684\u539f\u4e09\u89d2\u51fd\u6570\u503c\u7684\u7b26\u53f7\u53ef\u8bb0\u5fc6
\u6c34\u5e73\u8bf1\u5bfc\u540d\u4e0d\u53d8\uff1b\u7b26\u53f7\u770b\u8c61\u9650\u3002

1.sin\uff082k\u03c0+\u03b1\uff09=sin\u03b1
k\u2208z
cos\uff082k\u03c0+\u03b1\uff09=cos\u03b1
k\u2208z
tan\uff082k\u03c0+\u03b1\uff09=tan\u03b1
k\u2208z
cot\uff082k\u03c0+\u03b1\uff09=cot\u03b1
k\u2208z
2.sin\uff08\u03c0+\u03b1\uff09=\uff0dsin\u03b1
cos\uff08\u03c0+\u03b1\uff09=\uff0dcos\u03b1
tan\uff08\u03c0+\u03b1\uff09=tan\u03b1
cot\uff08\u03c0+\u03b1\uff09=cot\u03b1
3.sin\uff08\uff0d\u03b1\uff09=\uff0dsin\u03b1
cos\uff08\uff0d\u03b1\uff09=cos\u03b1
tan\uff08\uff0d\u03b1\uff09=\uff0dtan\u03b1
cot\uff08\uff0d\u03b1\uff09=\uff0dcot\u03b1
4.sin\uff08\u03c0\uff0d\u03b1\uff09=sin\u03b1
cos\uff08\u03c0\uff0d\u03b1\uff09=\uff0dcos\u03b1
tan\uff08\u03c0\uff0d\u03b1\uff09=\uff0dtan\u03b1
cot\uff08\u03c0\uff0d\u03b1\uff09=\uff0dcot\u03b1
5.sin\uff082\u03c0\uff0d\u03b1\uff09=\uff0dsin\u03b1
cos\uff082\u03c0\uff0d\u03b1\uff09=cos\u03b1
tan\uff082\u03c0\uff0d\u03b1\uff09=\uff0dtan\u03b1
cot\uff082\u03c0\uff0d\u03b1\uff09=\uff0dcot\u03b1
6.sin\uff08\u03c0/2+\u03b1\uff09=cos\u03b1
cos\uff08\u03c0/2+\u03b1\uff09=\uff0dsin\u03b1
tan\uff08\u03c0/2+\u03b1\uff09=\uff0dcot\u03b1
cot\uff08\u03c0/2+\u03b1\uff09=\uff0dtan\u03b1
sin\uff08\u03c0/2\uff0d\u03b1\uff09=cos\u03b1
cos\uff08\u03c0/2\uff0d\u03b1\uff09=sin\u03b1
tan\uff08\u03c0/2\uff0d\u03b1\uff09=cot\u03b1
7.sin\uff083\u03c0/2+\u03b1\uff09=\uff0dcos\u03b1
cos\uff083\u03c0/2+\u03b1\uff09=sin\u03b1
tan\uff083\u03c0/2+\u03b1\uff09=\uff0dcot\u03b1
cot\uff083\u03c0/2+\u03b1\uff09=\uff0dtan\u03b1
sin\uff083\u03c0/2\uff0d\u03b1\uff09=\uff0dcos\u03b1
cos\uff083\u03c0/2\uff0d\u03b1\uff09=\uff0dsin\u03b1
tan\uff083\u03c0/2\uff0d\u03b1\uff09=cot\u03b1
cot\uff083\u03c0/2\uff0d\u03b1\uff09=tan\u03b1
\u8bf1\u5bfc\u516c\u5f0f\u8bb0\u5fc6\u53e3\u8bc0\uff1a\u201c\u5947\u53d8\u5076\u4e0d\u53d8\uff0c\u7b26\u53f7\u770b\u8c61\u9650\u201d\u3002
\u7b26\u53f7\u5224\u65ad\u53e3\u8bc0\uff1a\u201c\u4e00\u5168\u6b63\uff1b\u4e8c\u6b63\u5f26\uff1b\u4e09\u4e24\u5207\uff1b\u56db\u4f59\u5f26\u201d\u3002
\u5012\u6570\u5173\u7cfb
:tan\u03b1
\u00b7cot\u03b1=1
sin\u03b1
\u00b7csc\u03b1=1
cos\u03b1
\u00b7sec\u03b1=1
\u5546\u7684\u5173\u7cfb
:sin\u03b1/cos\u03b1=tan\u03b1=sec\u03b1/csc\u03b1
cos\u03b1/sin\u03b1=cot\u03b1=csc\u03b1/sec\u03b1
\u5e73\u65b9\u5173\u7cfb
sin^2(\u03b1)+cos^2(\u03b1)=1
1+tan^2(\u03b1)=sec^2(\u03b1)
1+cot^2(\u03b1)=csc^2(\u03b1)
\u4e24\u89d2\u548c\u5dee\u516c\u5f0fsin\uff08\u03b1+\u03b2\uff09=sin\u03b1cos\u03b2+cos\u03b1sin\u03b2
sin\uff08\u03b1\uff0d\u03b2\uff09=sin\u03b1cos\u03b2-cos\u03b1sin\u03b2
cos\uff08\u03b1+\u03b2\uff09=cos\u03b1cos\u03b2-sin\u03b1sin\u03b2
cos\uff08\u03b1\uff0d\u03b2\uff09=cos\u03b1cos\u03b2+sin\u03b1sin\u03b2
tan\uff08\u03b1+\u03b2\uff09=(tan\u03b1+tan\u03b2
)/(1\uff0dtan\u03b1
\u00b7tan\u03b2)
tan\uff08\u03b1\uff0d\u03b2\uff09=(tan\u03b1\uff0dtan\u03b2)/(1+tan\u03b1
\u00b7tan\u03b2)
\u4e8c\u500d\u89d2\u7684\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u516c\u5f0f:sin2\u03b1=2sin\u03b1cos\u03b1
cos2\u03b1=cos^2(\u03b1)\uff0dsin^2(\u03b1)=2cos^2(\u03b1)\uff0d1=1\uff0d2sin^2(\u03b1)
tan2\u03b1=2tan\u03b1/(1\uff0dtan^2(\u03b1))
tan(1/2*\u03b1)=(sin
\u03b1)/(1+cos
\u03b1)=(1-cos
\u03b1)/sin
\u03b1
\u534a\u89d2\u7684\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u516c\u5f0f
sin^2(\u03b1/2)=(1\uff0dcos\u03b1)/2
cos^2(\u03b1/2)=(1+cos\u03b1)/2
tan^2(\u03b1/2)=(1\uff0dcos\u03b1)/(1+cos\u03b1)
tan(\u03b1/2)=(1\u2014cos\u03b1)/sin\u03b1=sin\u03b1/1+cos\u03b1
\u4e07\u80fd\u516c\u5f0f
sin\u03b1=2tan(\u03b1/2)/(1+tan^2(\u03b1/2))
cos\u03b1=(1\uff0dtan^2(\u03b1/2))/(1+tan^2(\u03b1/2))
tan\u03b1=(2tan(\u03b1/2))/(1\uff0dtan^2(\u03b1/2))
\u4e09\u500d\u89d2\u7684\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u516c\u5f0f
sin3\u03b1=3sin\u03b1\uff0d4sin^3(\u03b1)
cos3\u03b1=4cos^3(\u03b1)\uff0d3cos\u03b1
tan3\u03b1=(3tan\u03b1\uff0dtan^3(\u03b1))/(1\uff0d3tan^2(\u03b1))
\u4e09\u89d2\u51fd\u6570\u7684\u548c\u5dee\u5316\u79ef\u516c\u5f0fsin\u03b1+sin\u03b2=2sin((\u03b1+\u03b2)/2)
\u00b7cos((\u03b1\uff0d\u03b2)/2)
sin\u03b1\uff0dsin\u03b2=2cos((\u03b1+\u03b2)/2)
\u00b7sin((\u03b1\uff0d\u03b2)/2)
cos\u03b1+cos\u03b2=2cos((\u03b1+\u03b2)/2)\u00b7cos((\u03b1\uff0d\u03b2)/2)
cos\u03b1\uff0dcos\u03b2=\uff0d2sin((\u03b1+\u03b2)/2)\u00b7sin((\u03b1\uff0d\u03b2)/2)
\u4e09\u89d2\u51fd\u6570\u7684\u79ef\u5316\u548c\u5dee\u516c\u5f0fsin\u03b1\u00b7cos\u03b2=0.5[sin(\u03b1+\u03b2)+sin(\u03b1\uff0d\u03b2)]
cos\u03b1\u00b7sin\u03b2=0.5[sin(\u03b1+\u03b2)\uff0dsin(\u03b1\uff0d\u03b2)]
cos\u03b1\u00b7cos\u03b2=0.5[cos(\u03b1+\u03b2)+cos(\u03b1\uff0d\u03b2)]
sin\u03b1\u00b7sin\u03b2=\uff0d
0.5[cos(\u03b1+\u03b2)\uff0dcos(\u03b1\uff0d\u03b2)]
\u5e0c\u671b\u5bf9\u4f60\u6709\u5e2e\u52a9\u54c8

高一常用诱导公式sin(-a)=-sin(a)，cos(-a)=cos(a)，sin(2-a)=cos(a)，cos(2-a)=sin(a)，sin(2+a)=cos(a)，cos(2+a)=-sin(a)，sin(-a)=sin(a)。
诱导公式是指三角函数中，利用周期性将角度比较大的三角函数，转换为角度比较小的三角函数的公式。

楂樹竴鏁板,璇卞鍏紡
绛旓細鍥犱负cos伪-sin伪=-鈭5/5 鎵浠2cos伪sin伪=-锛伙紙cos伪-sin伪锛²-1锛=4/5 锛坈os+sin锛²=1+2sin cos=9/5 cos+sin=锛3鈭5锛/5 瑙ｅ緱cos=鈭5/5,sin=锛2鈭5锛/5 鎵浠an=sin/cos=2 鎵浠ュ師寮=锛4/5-鈭5/5+1锛/锛1-2锛=锛堚垰5-9锛/5 ...

楂樹竴鏁板,璇卞鍏紡
绛旓細瑙ｏ細鈭礷(x)=2cos[wx+锛埾/6)] 锛堝叾涓瓀>0)鈭10蟺=2蟺/w 瑙ｄ箣寰楋細w=1/5 鈭磃(x)=2cos[(1/5)x+(蟺/6)]f[5伪+锛5/3)蟺]=2cos{(1/5)[5伪+(5/3)蟺]+锛埾/6)]=2cos[伪+(蟺/2)]=-2sin伪 鈭-2sin伪=-6/5 sin伪=3/5 f[5尾-(5/6)蟺]=2cos{(1/5)[5...

楂樹竴鏁板棰:璇卞鍏紡銆
绛旓細鍥犱负锛宻in²x + cos²x = 1 锛屽張锛宑os(蟺/4 + 伪)= sin[蟺/2 - (蟺/4 + 伪)]= sin(蟺/4 - 伪) 锛屾墍浠ワ紝cos²(蟺/4 - 伪) + cos²(蟺/4 + 伪)= cos²(蟺/4 - 伪) + sin²(蟺/4 - 伪)= 1 ...

濂囧彉鍋朵笉鍙,绗﹀彿鐪嬭薄闄?
绛旓細濂囧彉鍋朵笉鍙樼鍙风湅璞￠檺鏄楂樹竴骞寸骇瀛︾殑涓夎鍑芥暟鐨璇卞鍏紡銆傚鍙樺伓涓嶅彉锛堝k鑰岃█锛屾寚k鍙栧鏁版垨鍋舵暟锛夛紝绗﹀彿鐪嬭薄闄愶紙鐪嬪師鍑芥暟锛屽悓鏃跺彲鎶娢辩湅鎴愭槸閿愯锛夈傚叕寮忓彸杈圭殑绗﹀彿涓烘妸伪瑙嗕负閿愯鏃讹紝瑙択路360掳+伪锛坘鈭圸锛夛紝-伪銆180掳卤伪锛360掳-伪鎵鍦ㄨ薄闄愮殑鍘熶笁瑙掑嚱鏁板肩殑绗﹀彿鍙蹇嗭細涔濆崄搴﹁璇卞鍚嶄笉...

楂樹竴 璇卞鍏紡
绛旓細闃垮皵娉曟槸绗洓璞￠檺瑙掞紝閭ｄ箞cos(闃垮皵娉+2鍒嗕箣娲)鏄涓璞￠檺瑙.鍥犱负cos闃垮皵娉=1/5.鎵浠ョ涓璞￠檺鍜岀鍥涜薄闄怌os鍊奸兘鏄鐨.鎵浠os(闃垮皵娉+2鍒嗕箣娲撅級=1/5

楂樹竴鏁板璇卞鍏紡..涓嶅お鎳傜殑鍦版柟
绛旓細cos(3/2蟺+蟺/4)=-cos(1/2蟺+蟺/4)=-锛-sin蟺/4)=sin蟺/4

楂樹竴鏁板棰樸佸叧浜璇卞鍏紡銆
绛旓細璇佹槑锛氬洜f(cosx)=cos17x.浠=(蟺/2)-t.===>cosx=cos[(蟺/2)-t]=sint.cos17x=cos[(17蟺/2)-17t]=cos[8蟺+(蟺/2)-17t]=cos[(蟺/2)-17t]=sin17t.鏁協(cosx)=f[cos(蟺/2-t)]=cos[(17蟺/2)-17t].===>f(sint)=sin17t.鍗砯(sinx)=sin17x.

楂樹竴鏁板璇卞鍑芥暟鐨勫寲绠璇︾粏姝ラ蹇揩甯竴涓嬪繖
绛旓細鎺ㄧ畻鍏紡锛3蟺/2 卤 伪涓幬辩殑涓夎鍑芥暟鍊间箣闂寸殑鍏崇郴锛歴in锛3蟺/2+伪锛=锛峜os伪 sin锛3蟺/2锛嵨憋級=锛峜os伪 cos锛3蟺/2+伪锛=sin伪 cos锛3蟺/2锛嵨憋級=锛峴in伪 tan锛3蟺/2+伪锛=锛峜ot伪 璇卞鍏紡璁板繂鍙ｈ瘈锛氣滃鍙樺伓涓嶅彉锛岀鍙风湅璞￠檺鈥濄傗滃銆佸伓鈥濇寚鐨勬槸蟺/2鐨勫嶆暟鐨勫鍋讹紝鈥滃彉涓...

楂樹竴鏁板 宸茬煡f(tanx)=cot3x-cos3x,姹俧(cotx)鐨勮〃杈惧紡.
绛旓細鍥爁(tanx)=cot3x-cos3x 鍒╃敤璇卞鍏紡tan(pi/2-x)=cotx (pi鍗冲渾鍛ㄧ巼)f(cotx)=f(tan(pi/2-x))=cot[3(pi/2-x)]-cos[3(pi/2-x)]=cot(3pi/2-3x)-cos(3pi/2-x)=tan3x+sin3x 鍙鐔熺煡璇卞鍏紡,绫讳技鐨勯鐩兘鍙互瑙

鍏充簬楂樹竴鏁板,璇卞鍏紡鐨勫寲绠,瑕佽繃绋嬨
绛旓細(浠ヤ笂k鈭圸)涓鑸殑鏈甯哥敤鍏紡:鍙ｈ瘈:濂囧彉鍋朵笉鍙橈紝绗﹀彿鐪嬭薄闄 Sin(A+B)=SinA*CosB+SinB*CosA Sin(A-B)=SinA*CosB-SinB*CosA Cos(A+B)=CosA*CosB-SinA*SinB Cos(A-B)=CosA*CosB+SinA*SinB Tan(A+B)=(TanA+TanB)/(1-TanA*TanB)绗2/4椤 Tan(A-B)=(TanA-TanB)/(1+TanA*TanB)...

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