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(tan80°-4cos10°)•3−sin70°2−cos210°=(  )

来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/05/14 15:06:44
(tan80°-4cos10°)•
3−sin70°
2−cos
原式=[tan(90°-10°)-4cos10°]•
3−sin(90°−20°)
2−
1+cos20°
2
=(
cos10°
sin10°-4cos10°)•
2(3−cos20°)
3−cos20°
=2×
cos10°−4sin10°cos10°
sin10°
=2×
cos10°−2sin20°
sin10°
=2×
sin80°−sin20°−sin20°
sin10°
=2×
2cos50°sin30°−sin20°
sin10°
=2×
cos50°−sin20°
sin10°
=2×
sin40°−sin20°
sin10°
=2×
2cos30°sin10°
sin10°
=2
3.
故选:C.