化简:cos10°tan20°+3sin10°•tan70°-2cos40°.
问题描述:
化简:
+cos10° tan20°
sin10°•tan70°-2cos40°.
3
答
+cos10° tan20°
sin10°•tan70°-2cos40°
3
=
+cos10° tan20°
-2cos40°
sin10°
3
tan20°
=
-2cos40°2sin(10°+30°) tan20°
=
-2cos40°2sin40° tan20°
=4cos220°-2cos40°
=4cos220°-4cos220°+2
=2.