中四M2證明題!!急! (15點)

R.H.S.

= (1 + 2sinx cosx) / (secx + cscx)

= (sin²x + cos²x + 2sinx cosx) / (secx + cscx)

= (sinx + cosx)² / (1/cosx + 1/sinx)

= (sinx + cosx)² / ( (sinx + cosx) / (cosx sinx) )

= sinx cosx (sinx + cosx)

= L.H.S.

2012-11-20 22:56:36 補充：
R.H.S.

= (1 + 2sinx cosx) / (secx + cscx)

= (sin²x + cos²x + 2sinx cosx) / (secx + cscx)

= (sinx + cosx)² / (1/sinx + 1/cosx)

= (sinx + cosx)² / ( (sinx + cosx) / (sinx cosx) )

= sinx cosx (sinx + cosx)

= L.H.S.

2012-11-20 23:05:02 補充：
不用理會補充回答~.