中四數學sin cos tan我要步驟
我要步驟>< THX!
1+sinθ-cos^2θ / (1+sinθ)cosθ
=? (ans:tanθ)
回答 (5)
cos^2θ/1-sin^2θ
1+sinθ-cos^2θ/(1+sinθ)cosθ
=1+sinθ-(1-sin^2θ)/(1+sinθ)cosθ
=1-1+sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ(1+sinθ)/(1+sinθ)cosθ
=sinθ/cosθ
=tanθ
這是中二的數學嗎?
我現在中二已經教了
2010-05-19 16:38:47 補充:
我也覺得這是中二的數,因為我現在中二已經懂了。
cos^2θ=1 - sin^2θ
1+sinθ - cos^2θ / (1+sinθ)cosθ
=1+sinθ - (1 - sin^2θ)/ (1+sinθ)cosθ
=1-1+sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ(1+sinθ)/(1+sinθ)cosθ [[[[抽sinθ出黎]]]
=sinθ/cosθ[[[1+sinθ約左佢]]]
=tanθ[[[sinθ/cosθ=tanθ]]]
2010-05-17 10:15:56 補充:
咁無咁亂
cos^2θ=1 - sin^2θ
1+sinθ - cos^2θ / (1+sinθ)cosθ
=1+sinθ - (1 - sin^2θ)/ (1+sinθ)cosθ
=1-1+sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ+sin^2θ/(1+sinθ)cosθ
=sinθ(1+sinθ)/(1+sinθ)cosθ......................... 抽sinθ出黎
=sinθ/cosθ.....................1+sinθ約左佢
=tanθ............................sinθ/cosθ=tanθ
(1+sinθ-cos^2θ) / [(1+sinθ)cosθ]
= [(1+sinθ)-(1-sinθ)(1+sinθ)]/[(1+sinθ)cosθ]
= [(1+sinθ)(1-1+sinθ)]/[(1+sinθ)cosθ)]
= sinθ/cosθ
= tanθ
收錄日期: 2021-04-13 17:16:04
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