(1)利用诱导公式求sin780°?cos(-420°)+sin(-330°)?cos(-300°)的值;(2)求cos40°(1+3tan1

2025-02-25 18:19:31
推荐回答(1个)
回答1:

(1)sin780°?cos(-420°)+sin(-330°)?cos(-300°)=sin60°cos(-60°)+sin30°cos60°=
3
2
×
1
2
+
1
2
×
1
2
=
3
+1
4

(2)求cos40°(1+
3
tan10°)=cos40°(1+
3
?
sin10°
cos10°
)=
cos40°
cos10°
?(cos10°+
3
sin10°)=
cos40°
cos10°
?2cos40°=
sin80°
cos10°
=1