sin2t
sin2tµÈÓÚɶ
sin2tµÈÓÚ2sint¡¤cost£¬»òÕßÀûÓÃÈý½ÇºãµÈʽ¿ÉÒÔ±íʾΪsin²t + cos²t = 1ÖеıäÐÎÐÎʽ£¬µ«×¢ÒâËü²»ÄÜÖ±½Ó¼ò»¯Îª2x¡Ì£¬ÕâÀïµÄxÐèÒªÃ÷È·´ú±íµÄº¬Òå¡£¾ßÌå½â...
Õâ¸öÊÇÔõôÓÃÈý½Ç¹«Ê½±ä»»µÄ
Ê×Ïȶþ±¶½Ç¹«Ê½sin2t=2sintcost 4sin²tcos²t=(2sintcost)^2=(sin2t)^2 È»ºó½µÃݹ«Ê½(sint)^2=(1-cos2t)/2 ËùÒÔ(sin...
ÒÑÖªsintµÄ±í´ïʽ,ÔõÑùµÃsin2t?
ÒÑÖªsintµÄ±í´ïʽ£¬ÔõÑùµÃsin2t£¿sin2t=2sintcost=¡À2sint1sin2t
Éèx=sint,Ôòsin2tµÈÓÚ?Ϊʲô´ð°¸ÊÇ2x(1 - x^2)^(1/2...
cost=(1-sint^2)^(1/2)=(1-x^2)^(1/2)sin2t=2sint*cost=2x(1-x^2)^(1/2)µ«,µÃ¿´costµÄ·¶Î§,ÊÇ´óÓÚ0»¹ÊÇСÓÚ0.È»ºóÇ°Ãæ¿´ÊÇ·ñ¼Ó¸ººÅ.
x=sint,y=sin (2t)±íʾʲôÑùµÄÇúÏß?
¼´£¬x2=sin2t£¬y2=4sin2t(1sin2t)ËùÒÔy2=4x2(1x2).¸ßÖиձÏÒµ£¬Ë®Æ½ÏÞÓÚ¶þ´ÎÇúÏß¡£Ê£ÏµĽ»¸ø»áÏß´úµÄ´óÀÐÃÇ£¨import nump...
sin2tµÄ²»¶¨»ý·ÖÊǶàÉÙ?
sin^2tµÄ²»¶¨»ý·ÖµÈÓÚt/2-1/4*sin2t+C¡£½â£º¡Òsin^2tdt =¡Ò(1-cos2t)/2dt =¡Ò1/2dt-1/2¡Òcos2tdt =1/2*t-1/4¡Òcos2td2t =t/2-1/4*sin2t+C ...
sin2tµÄ¸µÊϱ任ÔõÑùд?
¦Ä(w+2)-¦Ä(w-2)]Å·À¹«Ê½: sin2t=j/2 (e^-2jt - e^2jt)¦Äº¯ÊýµÄ¸µÊϱ任:F(e^jw¡£t)=¡Ò(-¡Þ£¬+¡Þ) e^j(w¡£-w)t dt =2¦Ð¦Ä(w¡£-w)...
¸Ã»ý·ÖÖÐÕâ¸ösin2t»Ø´úÊÇÈçºÎµÃµ½µÄ?
sin2t=2sintcost£¬È»ºó°Ñsint, costʽ×Ó·Ö±ð´ø½øÈ¥¼´¿É sin
º¯ÊýÇó×î´óÖµ:y=sin2t+sinttÊDZäÁ¿.Çë˵³öÇó½â¹ý³Ì...
½âÓÉy=sin2t+sintÇóµ¼y'=2cos2t+costÁîy'=0¼´2(2cos^2t-1)+cost=0¼´4cos^2t+cost-2=0½âµÃcost=(-1+¡Ì33)/8»òcost=(-1-¡Ì33)/8ÓÖÓÉy=4cos^2t+cost-2Öªµ±...
¡ÒsintdtÔõôËã?
Dsin2t=1cos2t2¡Òsin2tdt=¡Ò(1212cos2t)dt=¡Ò12dt¡Ò12cos2tdt=12t14sin2t+CÀûÓýµÃݹ«Ê½1-2sint^2=cos2tËùÒÔ sint...