证明:(1+tan a+cot a)/(1+tan^2 a+tan a)-cot a/(1+ tan^2 a)=sin a*cos a
问题描述:
证明:(1+tan a+cot a)/(1+tan^2 a+tan a)-cot a/(1+ tan^2 a)=sin a*cos a
答
左边将tan(a)和cot(a)分别化成sin(a)和cos(a)直接利用公式1+ tan^2(a)=1/cos^2(a)和sin^2(a)+cos^2(a)=1就可以证明,详细过程你最好自己来证.