求证:1+2sina cosa /sin^2a -cos^2a = tana +1/tana -1
求证:1+2sina cosa /sin^2a -cos^2a = tana +1/tana -1
日期:2013-11-24 16:34:59 人气:1
左式=(1+sin2α)/(-cos2α)(倍角公式)
=(1+2tanα/(1+tan²α))/-(1-tan²α)/(1+tan²α))(万能公式)
=((1+tan²α+2tanα)/-(1+tan²α))/(1-tan²α)/(1+tan²α))
=(1+tanα)²/-(1-tan²α)
=(1+tanα)²/-((1