核心提示基本公式公式一：設α為任意角，終邊相同的角的同一三角函數的值相等：sin(2kπ α)= sinαcos(2kπ α)= cosαtan(2kπ α)= tanαcot(2kπ α)= cotα公式二：設α為任意角，π α的三角函數值與α的 基本公式公式一：設α為任意角，終邊相同的角的同一三角函數的值相等：sin(2kπ α)= sinαcos(2kπ α)= cosαtan(2kπ α)= tanαcot(2kπ α)= cotα公式二：設α為任意角，π α的三角函數值與α的三角函數值之間的關系：sin(π α)= -sinαcos(π α)= -cosαtan(π α)= tanαcot(π α)= cotα公式三：任意角α與 -α的三角函數值之間的關系：sin(-α)= -sinαcos(-α)= cosαtan(-α)= -tanαcot(-α)= -cotα公式四：利世足金球獎用公式二和公式三可以得到π-α與α的三角函數值之間的關系：sin(π-α)= sinαcos(π-α)= -cosαtan(π-α)= -tanαcot(π-α)= -cotα公式五：利用公式-和公式三可以得到2π-α與α的三角函數值之間的關系：sin(2π-α)= -sinαcos(2π-α)= cosαtan(2π-α)= -tanαcot(2π-α)= -cotα公式六：π/2±α及3π/2±α與α的三角函數值之間的關系：sin(π/2 α)= cosαcos(π/2 α)= -sinαtan(π/2 α)= -cotαcot(π/2 α)= -tanαsin(π/2-α)= cosαcos(π/2-α)= sinαtan(π/2-α)= cotαcot(π/2-α)= tanαsin(3π/2 α)= -cosαcos(3π/2 α)= sinαtan(3π/2 α)= -cotαcot(3π/2 α)= -tanαsin(3π/2-α)= -cosαcos(3π/2-α)= -sinαtan(3π角子機/2-α)= cotαcot(3π/2-α)= tanα(以上k∈Z)誘導公式sin(-a) = -sin(a)cos(-a) = cos(a)sin(π/2-a) = cos(a)cos(π/2-a) = si世足 2022n(a)sin(π/2 a) = cos(a)cos(π/2 a) = -sin(a)sin(π-a) = sin(a)cos(π-a) = -cos(a)sin(π a) = -sin(a)cos(π a) = -cos(a)tanA = sinA/cosA兩角和公式sin(A B) = sinAcosB cosAsinBsin(A-B) = sinAcosB-cosAsinB cos(A B) = cosAcosB-sinAsinBcos(A-B) = cosAcosB sinAsinBtan(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)倍角公式tan2A = 2tanA/(1-tan A)Sin2A=2SinA cosA三倍角公式sin3A = 3sinA-4(sinA)^3;cos3A = 4(張琳芃cosA)^3 -3cosAtan3a = tan a · tan(π/3 a)· tan(π/3-a)半角公式sin(A/2) = √{(12002 世界盃–cosA)/2}cos(A/2) = √{(1 cosA)/2}tan(A/2) = √{(1–cosA)/(1 cosA)}cot(A/2) = √{(1 cosA)/(1-cosA)} tan(世界杯 愛爾達A/2) = (1–cosA)/sinA=sinA/(1 cosA)和差化積sin(a) sin(b) = 2sin[(a b)/2]cos[(a-b)/2]sin(a)-sin(b) = 2cos[(a b)/2]sin[(a-b)/2]cos(a) cos(b) = 2cos[(a b)/2]cos[(a-b)/2]cos(a)-cos(b) = -2sin[(a b)/2]sin[(a-b)/2]tanA tanB=sin(A B)/cosAcosB積化和差sin(a)sin(b) = -1/2*[cos(a b)-cos(a-b)]cos(a)cos(b) = 1/2*[cos(a b) cos(a-b)]sin(a)cos(b) = 1/2*[sin(a b) sin(a-b)]cos(a)sin(b) = 1/2*[sin(a b)-sin(a-b)]萬能公式sin(a) = [2tan(a/2)] / {1 [tan(a/2)]^2}cos(a) = {1-[tan(a/2)]^2} / {1 [tan(a/2)]^2}tan(a) = [2tan(a/2)]/{1-[tan(a/2)]^2}其它公式a·sin(a) b·cos(a) = [√(a^2 b^2)]*sin(a c) [其中，tan(c)=b/a]a·sin(a)-b·cos(a) = [√(a^2 b^2)]*cos(a-c) [其中，tan(c)=a/b]1 sin(a) = [sin(a/2) cos(a/2)]^21-sin(a) = [sin(a/2)-cos(a/2)]^2其他非重點三角函數csc(a) = 1/sin(a)sec(a) = 1/cos(a)歡迎關注微信公眾號：中學高分寶典好了，這篇文章的內容營銷圈就和大家分享到這里，如果大家網絡引流和網絡創業感興趣，可以添加微信：Dao8484 備注：營銷圈學習，我拉你進直播課程學習群，每周135晚上都是有實戰干貨的引流技術和創業項目課程免費分享！