1tan70°+4cos70°的值是______.-数学

题目简介

1tan70°+4cos70°的值是______.-数学

题目详情

1
tan70°
+4cos70°
的值是______.
题型:填空题难度:中档来源:不详

答案

class="stub"1
tan70°
+4cos70°=class="stub"cos70°
sin70°
+4cos70°=class="stub"cos70°+4sin70°cos70°
sin70°

=class="stub"cos70°+2sin140°
sin70°
=class="stub"cos70°+2sin40°
sin70°
=
cos70°+2sin(70°-30°)
sin70°

=class="stub"cos70°+2sin70°cos30°-2cos70°•sin30°
sin70°

=class="stub"2sin70°•cos30°
sin70°

=2cos30°=
3

故答案为:
3

更多内容推荐