1/cos80º-根号3/sin80º=？？
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解决时间 2021-01-04 05:19
- 提问者网友：活着好累
- 2021-01-03 19:31
1/cos80º-根号3/sin80º=？？
最佳答案
- 五星知识达人网友：第幾種人
- 2021-01-03 20:03
1/cos80-根号3/sin80
=1/sin10°-(根号3)/cos10°
=(cos10°-(根号3)sin10°)/(sin10°×cos10°)
=2(1/2 cos10°- (根号3)/2 sin10°))/(sin10°×cos10°
=2(sin30°cos10°-cos30°sin10°)/(sin10°×cos10°)
=2sin20°/(sin10°×cos10°)
=4sin20°/(2sin10°×cos10°)
=4sin20°/sin20°
=4
=1/sin10°-(根号3)/cos10°
=(cos10°-(根号3)sin10°)/(sin10°×cos10°)
=2(1/2 cos10°- (根号3)/2 sin10°))/(sin10°×cos10°
=2(sin30°cos10°-cos30°sin10°)/(sin10°×cos10°)
=2sin20°/(sin10°×cos10°)
=4sin20°/(2sin10°×cos10°)
=4sin20°/sin20°
=4
全部回答
- 1楼网友：低血压的长颈鹿
- 2021-01-03 21:11
2(sin30/cos80-cos30/sin80)通分后=4(-cos(80+30)/sin(80+80))=4
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