sin cos tan

2015-01-02 4:20 am
1)tanθ/sinθcosθ
2)-5sin²θ-5cos²θ
3)sinθ=cos35°
求解筨
thx

回答 (1)

2015-01-02 5:06 am
✔ 最佳答案
1)
tanθ/sinθcosθ
=(sinθ/cosθ)/sinθcosθ
=sinθ/cosθ * 1/sinθcosθ
=1/cos²θ

2)
- 5sin²θ - 5cos²θ
= - 5(1 - cos²θ) - 5cos²θ
= - 5 + 5cos²θ - 5cos²θ
= -5

3)
sinθ=cos 35°
θ=55° or θ=125°

2015-01-01 21:11:34 補充:
Or you can answer question 3 like this,
sinθ=cos 35°
sinθ=sin(90° - 35°)
sinθ=sin 55°
θ=55° or θ=180° - 55° = 125° (∵sin 55° = sin 125°)
參考: ME


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