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化简:cos80°cos55°-cos10°cos35°(需具体过程)
人气:415 ℃ 时间:2020-05-22 12:32:39
解答
cos80°cos55°-cos10°cos35°
=cos80°cos55°-cos(90°-80°)cos(90°-55°)
=cos80°cos55°-sin80°sin55°
=cos(80°+55°)
=cos(90°+45°)
= -cos45°
= -√2/2.=cos80°cos55°-cos(90°-80°)cos(90°-55°)这步是如何到=cos80°cos55°-sin80°sin55°利用cos(90°-θ)=sinθ即得。
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