已知tana=3,则1+2Sinacosa/sin方a-cos方a的值是等于
问题描述:
已知tana=3,则1+2Sinacosa/sin方a-cos方a的值是等于
答
1+2sinacosa/sin²a-cos²a
=sin²a+cos²a+2sinacosa/sin²a-cos²a
=tan²a+1+2tana/(tan²a-1)
=9+1+6/8
=10+0.75=10.75