化简:sin500(1+3tan100).
问题描述:
化简:sin500(1+
tan100).
3
答
sin500(1+
tan100)=
3
=sin50°(cos10°+
sin10°)
3
cos10°
=2sin50°cos50° cos10°
=sin100° cos10°
=1.cos10° cos10°
故答案为:1.