¼ÆËã:tan(Îå·ÖÖ®¶þÅÉ),Òª´ø¸ùºÅµÄ?

¼ûÏÂͼ


Çóº¯Êýµ¼Êý:y=¸ùºÅÏ¡¾tan(x/2)¡¿

y'=1/(2sqrt(tan(x/2))*sec(x/2)*1/2 =sec(x/2)/¡¾4sqrt(tan(x/2))¡¿×¢£ºsqrt()±íʾҪºÅÏ£¨£©


ÒÑÖªsin¦Á=2¸ùºÅ5/5 Çótan(¦Á+¦Ð)+sin(5¦Ð/2+¦Á)/cos...

sina=2¸ùºÅ5/5 cosa=¸ùºÅ5/5 tana=2tan(¦Á+¦Ð)+sin(5¦Ð/2+¦Á)/cos(5¦Ð/2-¦Á)=tana+cosa/sina=tana+1/tana =2+1/2= 5/2


tan18¡ãÊǶàÉÙ?Òª´ø¸ùºÅµÄ,¼ÆËã½á¹û×î¼òµÄ.

tan18¡ã=(1/5)*¡Ì(25-10¡Ì5).×÷Ò»¸ö¶¥½Ç36¶È,µ×½Ç72¶ÈµÄµÈÑüÈý½ÇÐÎABC,¡´A=36¶È,¡´B=¡´C=72¶È,×÷¡´Bƽ·ÖÏßBD,½»ACÓÚD,ÔòÈý½ÇÐÎBDCÏàËÆÓÚÈý½ÇÐÎABC,ÉèCD=...


ÈçºÎ¼ÆËã sqrt(tan x) ÔÚ 0 µ½¦Ð/2 µÄ¶¨»ý·Ö?

\int_0^{\pi/2}\sqrt{\tan x}\mathrm dx=\frac\pi2\sec\left(\frac\pi4\right)={\pi\over\sqrt2} ÕâÔ­º¯Êý£¬²»ËãÒ²°Õ ÀÁ...


Ç󲻶¨»ý·ÖµÚ¶þÀà»»Ôª·¨µÄʱºò´ø¸ùºÅΪʲô¿ÉÒÔÖ±½Ó...

Äã¸øµÄÌâ½âÊÇ´íÎóµÄ£¨Ò²¾ÍÊÇ˵ÄãÎʵÄÎÊÌâµÄ´ð°¸ÊÇ£º²»¿ÉÒÔÖ±½Óд³Étant£©£¬ÕýÈ·µÄ·½·¨Ó¦¸Ã·Ö³Éx´óÓÚÁãºÍxСÓÚÁãÀ´×ö¡£x´óÓÚÁ㣬¿ÉÒÔÖ±½Óд...


·´Èý½Çº¯ÊýÔõôËã?±ÈÈçarctan¸ùºÅ3¡¢ÎÒÖªµÀtanÈý·ÖÖ®ÅɵÈ...

»ù±¾²»ÄÜË㣬ÏÖÔÚ¶¼ÓüÆËãÆ÷£¬ÒÔÇ°ÊÇÓÐÒ»ÕÅ·´Èý½Çº¯Êý±í¸ñ²éµÄ


tan3·ÖÖ®2ÅÉΪʲôµÈÓÚ - ¸ùºÅ3

ÒòΪtan Èý·ÖÖ®¶þÅɵÈÓÚ120¡ã È»ºótan 120¡ãµÈÓÚ¸ºµÄ¸ùºÅ3


Éètan¦Á=(¸ùºÅ3)/3,ÅÉ

tan¦Á=(¸ùºÅ3)/3,ÅÉ


...¦Ð),sin¦Á=¸ùºÅ5\5,Çócos2¦Á,tan2¦ÁµÄÖµ?

ÁíÒ»Ö±½Ç±ßΪ1£¬ËùÒÔб±ßΪ¸ùºÅ5£¬ËùÒÔsin¦Á=2³ýÒÔ¸ùºÅ5£¬ËùÒÔsin^2¦Á=4/5,ͬÀíµÃcos^2¦Á=1/5 ¢ÚÒòΪtan¦Á=sin¦Á/cos¦Á=2£¬ËùÒÔsin¦Á=2cos¦Á´úÈë¼´¿ÉµÃ ...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷