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10°的正弦*50°的正弦*70°的正弦=?
人气:375 ℃ 时间:2020-04-17 01:57:57
解答
10°的正弦*50°的正弦*70°的正弦=?
sin10°sin50°sin70°
= 2sin10°cos10°sin50°cos20°/2cos10°
= 2sin20°cos20°sin50°/4cos10°
= 2sin40°cos40°/8cos10°
= sin80°/16cos10°
= cos10°/16cos10°
=1/16
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