bt學院(btany)
2025-08-21
1、因tanx=btany, 則sinx/cosx=bsiny/cosy 又sinx=asiny(sinx,siny≠0) 則acosy=bcosx 則b2cos2x+sin2x=a2cos2y+a2sin2y=a2 則(b2-1)cos2x=a2-1 因x為銳角cosx>0 則cosx=√[(a2-1)/(b2-1)]...
2025-08-21
1、因tanx=btany, 則sinx/cosx=bsiny/cosy 又sinx=asiny(sinx,siny≠0) 則acosy=bcosx 則b2cos2x+sin2x=a2cos2y+a2sin2y=a2 則(b2-1)cos2x=a2-1 因x為銳角cosx>0 則cosx=√[(a2-1)/(b2-1)]...