a-maths!!!!!!!

2008-01-29 4:25 am
已知sin²θ/(1+2cos²θ) =3/19,其中π<θ<3π/2。求sinθ/(1+cosθ)的值。

回答 (1)

2008-01-29 4:42 am
✔ 最佳答案
sin2 θ / 1+ 2cos2 θ = 3/19
sin2 θ = (1+ 2cos2 θ) (3/19)
sin2θ = [(1+ 2(1﹣sin2 θ)] (3/19)
19sin2θ= [(9﹣6sin2 θ)]
sin θ = -3/5
cosθ = -4/5
所以,
(tanθ /(1+sec θ )
= (sin θ/cos θ)/[(cos θ+1)/cos θ]
= sin θ/(cos θ+1)
= -3/5/[-4/5+1]
= -3

2008-01-29 17:04:28 補充:
所以,sinθ/(1+cosθ)= (-3/5)/(1-8/5)= (-3/5)/(-3/5)= 1


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