问题
解答题
已知tana=3,求下列各式的值. (1)
(2)sin2a+11cos2a. |
答案
由tana=3,
(1)则
=3sina-cosa sina+5cosa
=3tanα-1 tanα+5
=1;9-1 3+5
(2)则sin2a+11cos2a=
=sin2α+11cos2α sin2α+cos2α
=tan2α+11 tan2α+1
=2.9+11 9+1
已知tana=3,求下列各式的值. (1)
(2)sin2a+11cos2a. |
由tana=3,
(1)则
=3sina-cosa sina+5cosa
=3tanα-1 tanα+5
=1;9-1 3+5
(2)则sin2a+11cos2a=
=sin2α+11cos2α sin2α+cos2α
=tan2α+11 tan2α+1
=2.9+11 9+1