化简:cos10°tan20°+3sin10°•tan70°-2cos40°.

问题描述:

化简:

cos10°
tan20°
+
3
sin10°•tan70°-2cos40°.

cos10°
tan20°
+
3
sin10°•tan70°-2cos40°
=
cos10°
tan20°
+
3
sin10°
tan20°
-2cos40°
=
2sin(10°+30°)
tan20°
-2cos40°
=
2sin40°
tan20°
-2cos40°
=4cos220°-2cos40°
=4cos220°-4cos220°+2
=2.