(tan5°-cot5°)×cos70°1+sin70°=_.
问题描述:
(tan5°-cot5°)×
=______. cos70° 1+sin70°
答
(tan5°-cot5°)×
=(cos70° 1+sin70°
-sin5° cos5°
)•cos5° sin5°
sin20° 1+cos20°
=
•
sin25°−cos25° sin5°cos5°
=sin20° 1+cos20°
•−cos10°
sin10°1 2
=-2,2sin10°cos10°
2cos210°
故答案为:-2.