化简：sin^2a*tana+cos^2a/tana+2sina*cosa
问题描述：
化简：sin^2a*tana+cos^2a/tana+2sina*cosa
答
sin²a*tana+cos²a/tana+2sina*cosa
=sin³a/cosa+cos³a/sina+2sina*cosa
=(sin^4a+cos^4a+2sin²acos²a)/(sinacosa)
=2(sin²a+cos²a)²/sin(2a)
=2/sin(2a)
答
sin^2a*tana+cos^2a/tana+2sina*cosa
=(1-cos^2a)*tana+(1-sin^2a)/tana+2sina*cosa
=tana-sina*cosa+1/tana-sina*cosa+2sina*cosa
=tana+1/tana