sin120°等于cos多少 为什么sin120度等于cos3o度

cos120\u00b0\u600e\u4e48\u7b97\uff1f

cos120\u00b0\uff1d\uff0d0.5\uff0c\u8ba1\u7b97\u8fc7\u7a0b\uff1a
\u6839\u636e\u4efb\u610f\u89d2\u4e09\u89d2\u51fd\u6570\u7b97\u8bf1\u5bfc\u516c\u5f0fcos\uff08180\u00b0\uff0d\u03b1\uff09\uff1dcos\uff08\uff0d\u03b1\uff09
\u6240\u4ee5cos120\u00b0\uff1dcos\uff08180\u00b0\uff0d60\u00b0\uff09\uff1d\uff0dcos60\u00b0\uff1d\uff0d0.5
\u56e0\u4e3a\u8868\u793a120\u00b0\u7684\u89d2\u7684\u7ec8\u8fb9\u5728\u7b2c\u4e8c\u8c61\u9650\uff0c\u6240\u4ee5\u4f59\u5f26\u503c\u662f\u8d1f\u6570\u3002

\u6269\u5c55\u8d44\u6599\uff1a

\u4e09\u89d2\u51fd\u6570\u500d\u89d2\u516c\u5f0f\uff1a
1\u3001Sin2A\uff1d2SinA\uff0aCosA
2\u3001Cos2A\uff1dCosA\uff3e2\uff0dSinA\uff3e2\uff1d1\uff0d2SinA\uff3e2\uff1d2CosA\uff3e2\uff0d1
3\u3001tan2A\uff1d\uff082tanA\uff09\uff0f\uff081\uff0dtanA\uff3e2\uff09\uff08\u6ce8\uff1aSinA\uff3e2\u662fsinA\u7684\u5e73\u65b9sin2\uff08A\uff09\uff09
\u4e09\u89d2\u51fd\u6570\u8bf1\u5bfc\u516c\u5f0f
1\u3001\uff08\uff0d\u03b1\uff09\uff1d\uff0dsin\u03b1\u3001cos\uff08\uff0d\u03b1\uff09\uff1dcos\u03b1
2\u3001tan\uff08\u2014a\uff09\uff1d\uff0dtan\u03b1\u3001sin\uff08\u03c0\uff0f2\uff0d\u03b1\uff09\uff1dcos\u03b1\u3001cos\uff08\u03c0\uff0f2\uff0d\u03b1\uff09\uff1dsin\u03b1\u3001sin\uff08\u03c0\uff0f2\uff0b\u03b1\uff09\uff1dcos\u03b1
3\u30013cos\uff08\u03c0\uff0f2\uff0b\u03b1\uff09\uff1d\uff0dsin\u03b1
4\u3001\uff08\u03c0\uff0d\u03b1\uff09\uff1dsin\u03b1\u3001cos\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dcos\u03b1
5\u30015tanA\uff1dsinA\uff0fcosA\u3001tan\uff08\u03c0\uff0f2\uff0b\u03b1\uff09\uff1d\uff0dcot\u03b1\u3001tan\uff08\u03c0\uff0f2\uff0d\u03b1\uff09\uff1dcot\u03b1
6\u3001tan\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dtan\u03b1\u3001tan\uff08\u03c0\uff0b\u03b1\uff09\uff1dtan\u03b1

\u89e3\uff1asin120\u00b0=sin(90\u00b0+30\u00b0)
=cos30\u00b0 (\u5e94\u7528\u8bf1\u5bfc\u516c\u5f0f)\u3002
\u8bf4\u660e\uff1acos30\u00b0 =\u221a3/2\u3002

sin120°等于cos(30°+k×360°)或cos(-30°+k×360°)
其中k为任意整数

60

30度

cos(k×360+30)

30度

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