问题 填空题
计算
sin80°
cos50°
(1+
3
tan10°)
=______.
答案

1+

3
tan10°=1+
3
sin10°
cos10°
=
cos10°+
3
sin10°
cos10°
=
2sin(10°+30°)
cos10°
=
2sin40°
cos10°

∴原式=

sin80°
cos50°
?
2sin40°
cos10°
=
cos10°
sin40°
?
2sin40°
cos10°
=2.

故答案为2

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