cos²a-sinacosa+tana/cos²a+sinacosa-tana=1+tan三次方a/(1-tan三次方a)
问题描述:
cos²a-sinacosa+tana/cos²a+sinacosa-tana=1+tan三次方a/(1-tan三次方a)
答
=[cosa^2(1-tana)+tana]/[cosa^2(1+tana)-tana]
=[(1-tana)+tana/(cosa^2)]/[1+tana-tana/cosa^2]
=[(1-tana+tana(1+tana^2)]/[(1+tana)-tana(1+tana^2)]
=[1+tana^3]/[1-tana^3]