关于三角函数有如下的公式:sin(阿尔法+贝塔)=sin阿尔法cos贝塔+cos阿尔法sin贝塔 已知阿尔法➕贝塔和贝塔的三角函数,如何求cos...
\u6570\u5b66\u4e09\u89d2\u51fd\u6570\u7b80\u7b54\u9898\u4e24\u5f0f\u5e73\u65b9\u5c55\u5f00\u540e\u76f8\u52a0\u5f97 2+2sin\u963f\u5c14\u6cd5cos\u8d1d\u5854-2sin\u8d1d\u5854cos\u963f\u5c14\u6cd5=13/36 2\uff08sin\u963f\u5c14\u6cd5cos\u8d1d\u5854-sin\u8d1d\u5854cos\u963f\u5c14\u6cd5\uff09=-59/36 \u6839\u636e\u516c\u5f0fsin\uff08\u963f\u5c14\u6cd5-\u8d1d\u5854\uff09=sin\u963f\u5c14\u6cd5cos\u8d1d\u5854-sin\u8d1d\u5854cos\u963f\u5c14\u6cd5 \u6240\u4ee5sin\uff08\u963f\u5c14\u6cd5-\u8d1d\u5854\uff09=-59/72
cos\uff08\u03b1\uff0b\u03b2\uff09\uff1dcos\u03b1cos\u03b2\uff0bsin\u03b1sin\u03b2,\u7136\u540e\u4ee3\u5165\uff0c\u518d\u7531sin\u03b1²+cos\u03b1²=1\u5217\u65b9\u7a0b\u8ba1\u7b97
sin75=sin(30+45)=sin30cos45+cos30sin45=1/2*(根号2/2)+(根号3/2)*(根号2/2)公式:sin(α+β)=sinαcosβ+cosαsinβ 75=45+30
sin(45°+30°)=sin45°cos30°+cos45°sin30°=(根号6+根号2)/4
sin75=sin(30+45)
=sin30cos45+cos30sin45
=1/2*√2/2+√3/2*√2/2
=√2/4*(1+√3)
sin75°=sin(45°+30°)
=sin45°cos30°+cos45°sin30°
=(√2/2)*(√3/2)+(√2/2)*(1/2)
=(√6+√2)/4
绛旓細涓夎鍑芥暟甯哥敤鍏紡銆俿trong>涓よ鍜屽叕寮忥紝sin(A+B)=sinAcosB+cosAsinBsin(A-B)=sinAcosB-sinBcosA銆傚嶈鍏紡锛宼an2A=2tanA/(1-tan2A)ctg2A=(ctg2A-1)/2ctga銆傚崐瑙掑叕寮忥紝sin(A/2)=鈭((1-cosA)/2)sin(A/2)=-鈭((1-cosA)/2)銆傚拰宸寲绉紝2sinAcosB=sin(A+B)+sin(A-B)2cosAsinB...
绛旓細sinA/cosA銆乼an锛埾/2锛嬑憋級锛濓紞cot伪銆乼an锛埾/2锛嵨憋級锛漜ot伪 6銆乼an锛埾锛嵨憋級锛濓紞tan伪銆乼an锛埾锛嬑憋級锛漷an伪 鍏侀攼瑙涓夎鍑芥暟鍏紡 1銆乻in 伪=鈭犖辩殑瀵硅竟 / 鏂滆竟 2銆佄=鈭犖辩殑閭昏竟 / 鏂滆竟 3銆乼an 伪=鈭犖辩殑瀵硅竟 / 鈭犖辩殑閭昏竟 4銆乧ot 伪=鈭犖辩殑閭昏竟 / 鈭犖辩殑瀵硅竟 ...
绛旓細涓夎鍑芥暟鍔犲噺娉鍏紡鏈夊涓嬶細sin锛埼憋紜尾锛夛紳sin伪cos尾锛媍os伪sin尾銆俿in锛埼憋紞尾锛夛紳sin伪cos尾锛峜os伪sin尾銆俢os锛埼憋紜尾锛夛紳cos伪cos尾锛峴in伪sin尾銆俢os锛埼憋紞尾锛夛紳cos伪cos尾锛媠in伪sin尾銆涓夎鍑芥暟鍏紡鐩稿叧锛氫笁瑙掑嚱鏁版槸鏁板涓睘浜庡垵绛夊嚱鏁颁腑鐨勮秴瓒鍑芥暟鐨鍑芥暟銆傚畠浠殑鏈川鏄换浣曡鐨勯泦鍚堜笌...
绛旓細涓夎鍑芥暟鍏紡 涓よ鍜屽叕寮 sin(A+B) = sinAcosB+cosAsinB sin(A-B) = sinAcosB-cosAsinB cos(A+B) = cosAcosB-sinAsinB cos(A-B) = cosAcosB+sinAsinB tan(A+B) = tan(A-B) = cot(A+B) = cot(A-B) = 鍊嶈鍏紡 tan2A = Sin2A=2SinA•CosA Cos2A = Cos2A-Sin2A=2...
绛旓細鍜屽樊鍖栫Н 绉寲鍜屽樊 sin伪sin尾=-[cos锛埼+尾锛-cos锛埼-尾锛塢 /2 cos伪cos尾=[cos锛埼+尾锛+cos锛埼-尾锛塢/2 sin伪cos尾=[sin锛埼+尾锛+sin锛埼-尾锛塢/2 cos伪sin尾=[sin锛埼+尾锛-sin锛埼-尾锛塢/2 璇卞鍏紡 涓夎鍑芥暟鐨璇卞鍏紡锛堝叚鍏紡锛夊叕寮忎竴锛歴in(伪+k*2蟺)=sin伪...
绛旓細姝e鸡鍑芥暟 Sine sin 胃=y/r 瑙捨哥殑瀵硅竟姣旀枩杈
绛旓細涓夎鍑芥暟鐨璇卞鍏紡锛堝叚鍏紡锛夊叕寮忎竴锛歴in(伪+k*2蟺)=sin伪 cos(伪+k*2蟺)=cos伪 tan(伪+k*蟺)=tan伪 鍏紡浜岋細sin(蟺+伪) = -sin伪 cos(蟺+伪) = -cos伪 tan(蟺+伪锛=tan伪 鍏紡涓夛細sin(-伪) = -sin伪 cos(-伪) = cos伪 tan (-伪)=-tan伪 鍏紡鍥涳細sin(蟺-伪) ...
绛旓細甯歌鐨涓夎鍑芥暟鍖呮嫭姝e鸡鍑芥暟銆佷綑寮﹀嚱鏁板拰姝e垏鍑芥暟銆傚湪鑸捣瀛︺佹祴缁樺銆佸伐绋嬪绛夊叾浠栧绉戜腑锛岃繕浼氱敤鍒板浣欏垏鍑芥暟銆佹鍓插嚱鏁般佷綑鍓插嚱鏁般佹鐭㈠嚱鏁般佷綑鐭㈠嚱鏁般佸崐姝g煝鍑芥暟銆佸崐浣欑煝鍑芥暟绛夊叾浠栫殑涓夎鍑芥暟銆備笉鍚岀殑涓夎鍑芥暟涔嬮棿鐨勫叧绯诲彲浠ラ氳繃鍑犱綍鐩磋鎴栬呰绠楀緱鍑猴紝绉颁负涓夎鎭掔瓑寮 鍩烘湰鍏紡 鍜屽樊瑙掑叕寮 鍜屽樊鍖栫Н...
绛旓細鍦ㄥ崟浣嶄负涓鐨勫渾涓椂锛歴inx=y cos=x tanx=y/x 鎺ㄥ箍锛氫竴鑸湴锛岃瑙抶缁堣竟涓婁换鎰忎竴鐐圭殑鍧愭爣涓猴紙x,y锛夛紝瀹冧笌鍘熺偣鐨勮窛绂讳负r,鍒檚inx=y/r cosx=x/r tanx=y/x
绛旓細涓よ鍜屼笌宸殑涓夎鍑芥暟鍏紡 涓囪兘鍏紡 sin锛埼憋紜尾锛夛紳sin伪cos尾锛媍os伪sin尾 sin锛埼憋紞尾锛夛紳sin伪cos尾锛峜os伪sin尾 cos锛埼憋紜尾锛夛紳cos伪cos尾锛峴in伪sin尾 cos锛埼憋紞尾锛夛紳cos伪cos尾锛媠in伪sin尾 tan伪锛媡an尾 tan锛埼憋紜尾锛夛紳鈥斺斺1锛峵an伪 路tan尾 tan伪锛峵an尾 tan锛埼憋紞尾锛...