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1、.仒觽兰攍1.三角函数1.诱导公式诼孬儏弋sin(-a) = - sin(a) sin(-a) = - sin(a) cos(-a) = cos(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)cos( - a) = - cos(a)sin( + a) = - sin(a)cos( + a) = - cos(a)2.两角和与差的三角函数sin(a + b) = sin(a)cos(b) + cos()sin(
2、b)cos(a + b) = cos(a)cos(b) - sin(a)sin(b)sin(a - b) = sin(a)cos(b) - cos(a)sin(b)cos(a + b) = cos(a)cos(b) - sin(a)sin(b)sin(a - b) = sin(a)cos(b) - cos(a)sin(b)cos(a - b) = cos(a)cos(b) + sin(a)sin(b)tan(a + b) = tan(a) + tan(b) / 1 - tan(a)tan(b)tan(a - b) = tan(a) - tan(b) / 1 + tan(a)tan(b)3.co
3、s(a - b) = cos(a)cos(b) + sin(a)sin(b)tan(a + b) = tan(a) + tan(b) / 1 - tan(a)tan(b)tan(a - b) = tan(a) - tan(b) / 1 + tan(a)tan(b)3.和差化积公式sin(a) + sin(b) = 2sin(a + b)/2cos(a - b)/2sin(a) - sin(b) = 2sin(a - b)/2cos(a + b)/2 cos(a) + cos(b) = 2cos(a + b)/2cos(a - b)/2 cos(a) - cos(b) = - 2sin(a +
4、b)/2sin(a - b)/2 4.礖厌哮嵬儏sin(a)sin(b) = - 1/2cos(a + b) - cos(a - b)cos(a)cos(b) = 1/2cos(a + b) + cos(a -b)sin(a)cos(b) = 1/2sin(a + b) + sin(a - b)5.sin(a) + sin(b) = 2sin(a + b)/2cos(a - b)/2sin(a) - sin(b) = 2sin(a - b)/2cos(a + b)/2 cos(a) + cos(b) = 2cos(a + b)/2cos(a - b)/2 cos(a) - cos(b) = -
5、 2sin(a + b)/2sin(a - b)/2 4.积化和差公式sin(a)sin(b) = - 1/2cos(a + b) - cos(a - b)cos(a)cos(b) = 1/2cos(a + b) + cos(a -b)sin(a)cos(b) = 1/2sin(a + b) + sin(a - b)5.二倍角公式sin(2a) = 2sin(a)cos(a)cos 2a = cos2a - sin2a = 2cos2a - 1= 1 - 2sin2a6.J叒襬儏sin(2a) = 2sin(a)cos(a)cos 2a = cos2a - sin2a = 2cos2a - 1
6、= 1 - 2sin2a6.半角公式sin2a = sin2a = 1 cos 2a/ 2cos2a = 1 + cos 2a/ 2tan a = 1 cos 2a /sin 2a = sin 2a / 1 + cos 2a 7.万能公式sin(a) = 2tan(a/2) / 1+tan2(a/2)cos(a) = 1-tan2(a/2) / 1+tan2(a/2)tan(a) = 2tan(a/2) / 1-tan2(a/2) 仒觽兰敬儏弍sin(a) = 2tan(a/2) / 1+tan2(a/2)cos(a) = 1-tan2(a/2) / 1+tan2(a/2)tan(a) = 2
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