若tana=2,求2sina cosa/sina-cosa和sin^2a-2sinacosa 3cos^2a的值
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2016-02-13 · 知道合伙人教育行家
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∵tana=2
∴(2sina+cosa)/(sina-cosa)
【分子分母同除以cosa】:
= (2tana+1)/(tana-1)
= (4+1)/(2-1)
= 5
sin²a-2sinacosa+3cos²a
= (sin²a-2sinacosa+3cos²a)/(sin²a+cos²a)
【分子分母同除以cos²a】:
= (tan²a-2tan+3)/(tan²a+1)
= (4-4+3)/(4+1)
= 3/5
∴(2sina+cosa)/(sina-cosa)
【分子分母同除以cosa】:
= (2tana+1)/(tana-1)
= (4+1)/(2-1)
= 5
sin²a-2sinacosa+3cos²a
= (sin²a-2sinacosa+3cos²a)/(sin²a+cos²a)
【分子分母同除以cos²a】:
= (tan²a-2tan+3)/(tan²a+1)
= (4-4+3)/(4+1)
= 3/5
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