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数学
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若a属于{0,π/2},且cos平方a+sin{π/2+2a}=1/2.则tana=?
人气:400 ℃ 时间:2020-05-22 08:04:13
解答
cos平方a+sin{π/2+2a}=cos²a+cos(2a)=cos²a+cos²a-sin²a=(2cos²a-sin²a)/(cos²a+sin²a)=(2-tan²a)/(1+tan²a)=1/2故1+tan²a=4-2tan²a3tan²a=3tan...
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