记cos(-80°)=k,那么tan100°=(  ) A.1−k2k B.-1−k2k C.k1−k2 D.-k1−k2

问题描述:

记cos(-80°)=k,那么tan100°=(  )
A.

1−k2
k

B. -
1−k2
k

C.
k
1−k2

D. -
k
1−k2

法一sin80°=1−cos280°=1−cos2(−80°)=1−k2,所以tan100°=-tan80°=−sin80°cos80°=−1−k2k.:法二cos(-80°)=k⇒cos(80°)=k,tan100°=sin1000cos100o=sin(1800−800)cos(1800−800)=sin80o...