已知tana=2(1)sina+3cosa/sina-cosa(2)sin²a+sinacosa+3cos²a已知tana=2(1)sina+3cosa/sina-cosa(2)sin²a+sinacosa+3cos²a
问题描述:
已知tana=2(1)sina+3cosa/sina-cosa(2)sin²a+sinacosa+3cos²a
已知tana=2
(1)sina+3cosa/sina-cosa
(2)sin²a+sinacosa+3cos²a
答
(1)sina+3cosa/sina-cosa=t+3/t-1=5
sin²a+sinacosa+3cos²a=sin²a+sinacosa+3cos²a
____________________
sin²a+cos²a
t平方+t+3
————— =9/5 t代表 tana
t平方 +1
答
(1)sina+3cosa/sina-cosa=(tana+3)/(tana-1)=(2+3)/(2-1)=5(2)sin²a+sinacosa+3cos²a=(sin²a+sinacosa+3cos²a)/(sin²a+cos²a)=(tan²a+tana+3)/(tan²a+1)=(4+2+3)/(4+1)...