资源预览内容
第1页 / 共3页
第2页 / 共3页
第3页 / 共3页
亲,该文档总共3页全部预览完了,如果喜欢就下载吧!
资源描述
一三角函数公式,1.诱导公式 sin(-a) = - sin(a) cos(-a) = cos(a) sin(/2(90 度) - a) = cos(a) cos(/2(90 度) - a) = sin(a) sin(/2 (90 度)+ a) = cos(a) cos(/2 (90 度)+ a) = - sin(a) sin((180 度 )- a) = sin(a) cos((180 度 ) - a) = - cos(a) sin((180 度 )+ a) = - sin(a) cos((180 度 )+ a) = - cos(a) 2.两角和与差的三角函数 sin(a + b) = sin(a)cos(b) + cos()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.和差化积公式 sin(a) + sin(b) = 2sin(a + b)/2cos(a - b)/2 sin(a) sin(b) = 2cos(a + b)/2sin(a - b)/2 cos(a) + cos(b) = 2cos(a + b)/2cos(a - b)/2,1,2,cos(a) - cos(b) = - 2sin(a + b)/2sin(a - b)/2 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) 二倍角公式 sin(2a) = 2sin(a)cos(b) cos(2a) = cos2(a) - sin2(a) = 2cos2(a) -1=1 - 2sin2(a) 6.半角公式 sin2(a/2) = 1 - cos(a) / 2 cos2(a/2) = 1 + cos(a) / 2 tan(a/2) = 1 - cos(a) /sin(a) = sina / 1 + cos(a) 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) 二反三角函数公式 反三角函数其他公式: cos(arcsinx)=(1-x2) arcsin(-x)=-arcsinx arccos(-x)=-arccosx arctan(-x)=-arctanx arccot(-x)=-arccotx arcsinx+arccosx=/2=arctanx+arccotx sin(arcsinx)=cos(arccosx)=tan(arctanx)=cot(arccotx)=x,3,arcsin x = x + x3/(2*3) + (1*3)x5/(2*4*5) + 1*3*5(x7)/(2*4*6*7)+(2k+1)!*x(2k-1)/(2k!*(2k+1)+(|x|0,arctanx=/2-arctan1/x,arccotx 类似 若 (arctanx+arctany)(-/2,/2),则 arctanx+arctany=arctan(x+y)/(1-xy) 例如,arcsin 表示角,满足 -/2,/2且 sin=;arccos(-4/5)表示角 ,满足 0,且 cos=-4/5;arctan2 表示角 ,满足 (-/2,/2)且 tan=2,
网站客服QQ:2055934822
金锄头文库版权所有
经营许可证:蜀ICP备13022795号 | 川公网安备 51140202000112号