(20點)中三trigonometric relations

2014-04-21 9:04 am
1. it is given that cos(42'-Θ)tan(42'-Θ)=cos(2Θ+18') , where Θ is an acute angle .
a) find Θ by using the trigonometric identities
b) using the result obtained in(a) , find the value of 3cosΘ sin(15'-Θ) tan 2Θ

2.a) prove that 1-cos Θ/ 1+cos Θ = (1-cosΘ/sinΘ)^2 .

plz help me T_T 大大感激xd

請詳細說明,不要只寫答案>_< thank you :)))))

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回答 (2)

2014-04-21 7:16 pm
✔ 最佳答案
The answer is as follows :


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2014-04-21 11:19:38 補充:
2. (b)

若 F.3 未學過 15° 的 special angle,則直接計算便可:

3 cos30° sin(-15°) tan60°
= 3 cos30° (-sin15°) tan60°
= -1.165
參考: pingshek, pingshek
2014-04-21 6:20 pm
中三應該未學compound angle, 1b 會不會是打錯了題目,應該是

find the value of 3 cosΘ sin(15'+Θ) tan 2Θ


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