已知tana=1/3,求sina+2cosa/5cosa-sina的值求sinacosa-1
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2015-08-11 · 知道合伙人教育行家
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tana=1/3
(sina+2cosa)/(5cosa-sina)
分子分母同除以cosa:
= (tana+2)/(5-tana)
= (1/3+2)/(5-1/3)
= (1+6)/(15-1)
= 1/2
sinacosa-1
= sinacosa/(sin²a+cos²a)- 1
分子分母同除以cos²a:
= tana/(tan²a+1)-1
= (1/3)/(1/9+1) - 1
= 3/(1+9)- 1
= -7/10
(sina+2cosa)/(5cosa-sina)
分子分母同除以cosa:
= (tana+2)/(5-tana)
= (1/3+2)/(5-1/3)
= (1+6)/(15-1)
= 1/2
sinacosa-1
= sinacosa/(sin²a+cos²a)- 1
分子分母同除以cos²a:
= tana/(tan²a+1)-1
= (1/3)/(1/9+1) - 1
= 3/(1+9)- 1
= -7/10
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