特殊三角函數(shù)數(shù)值表

1、兩角和公式sin(A+B = sinAcosB+cosAsinB sin(A-B = sinAcosB-cosAsinB cos(A+B = cosAcosB-sinAsinB cos(A-B = cosAcosB+sinAsinB tan(A+B = (tanA+tanB/(1-tanAtanB tan(A-B = (tanA-tanB/(1+tanAtanB cot(A+B = (cotAcotB-1/(cotB+cotA cot(A-B = (cotAcotB+1/(cotB-cotA三倍角公式 sin3A = 3sinA-4(sinA3; cos3A = 4(cosA3 -3cosA

2、tan3a = tan a tan(/3+a tan(/3-a 半角公式 sin(A/2 = (1-cosA/2 cos(A/2 = (1+cosA/2 tan(A/2 = (1-cosA/(1+cosA cot(A/2 = (1+cosA/(1-cosA tan(A/2 = (1-cosA/sinA=sinA/(1+cosA 和差化積 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 cos(a-cos(b = -2sin(a+b/2sin

3、(a-b/2 tanA+tanB=sin(A+B/cosAcosB 積化和差 sin(asin(b = -1/2*cos(a+b-cos(a-b cos(acos(b = 1/2*cos(a+b+cos(a-b sin(acos(b = 1/2*sin(a+b+sin(a-b cos(asin(b = 1/2*sin(a+b-sin(a-b 誘導(dǎo)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 cos(-a =

4、 -cos(a sin(+a = -sin(a cos(+a = -cos(a tgA=tanA = sinA/cosA 萬(wàn)能公式 sin(a = 2tan(a/2 / 1+tan(a/22 cos(a = 1-tan(a/22 / 1+tan(a/22 tan(a = 2tan(a/2/1-tan(a/22 asin(a+bcos(a = (a2+b2*sin(a+c 其中，tan(c=b/a asin(a-bcos(a = (a2+b2*cos(a-c 其中，tan(c=a/b 1+sin(a = sin(a/2+cos(a/22; 1-sin(a = sin(a/2-cos(a/22;這

5、是高考用的正割函數(shù)與余割函數(shù)正割函數(shù)在y=secx中，以x的任一使secx有意義的值與它對(duì)應(yīng)的y值作為(x，y在直角坐標(biāo)系中作出的圖形叫正割函數(shù)的圖像，也叫正割曲線y=secx的性質(zhì)：(1定義域,x|x/2+k,kZ (2值域,secx1即secx1或secx1; (3y=secx是偶函數(shù)，即sec(x=secx圖像對(duì)稱于y軸; (4y=secx是周期函數(shù)周期為2k(kZ，且k0，最小正周期T=2并附上很難找到的正割圖像.(正割函數(shù)圖像中值域在-1到1之間的圖像不包括。 更好的圖像請(qǐng)參考正割與余弦互為倒數(shù)，余割與正弦互為倒數(shù)。正割函數(shù)無(wú)限趨向于直線x=/2+k。正割函數(shù)是無(wú)界函數(shù)正割函數(shù)的導(dǎo)數(shù)：(secx=secx*tanx 正割函數(shù)的不定積分：secxdx=|secx+tanx|+C余割函數(shù)對(duì)于任意一個(gè)實(shí)數(shù)x，都對(duì)應(yīng)著唯一的角（弧度制中等于這個(gè)實(shí)數(shù)），而這個(gè)角又對(duì)應(yīng)著唯一確定的余割值cscx與它對(duì)應(yīng)，按照這個(gè)對(duì)應(yīng)法則建立的函數(shù)稱為余割函數(shù)。記作f(x=cscx 余割函數(shù)的性質(zhì)1、定義域：x|xk，kZ