(1+根号3tan10°)·cos40°求值

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(1+根号3tan10°)·cos40°求值
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(1+根号3tan10°)·cos40°求值
(1+根号3tan10°)·cos40°求值

(1+根号3tan10°)·cos40°求值

(1+√3tan10)cos40
=(cos10/cos10+√3sin10/cos10)cos40
=[(cos10+√3sin10)/cos10]cos40
=[2sin(10+30)/cos10]cos40
=(2sin40/cos10)×cos40
=(2sin40cos40)/cos10
=sin80/cos10
=sin(90-10)/cos10
=cos10/cos10
=1

(1+根号3tan10°)·cos40°=1