Prove the following trigonometric identities.
8. sin(square) - sin(square)(90°-Θ)≡2 sin(square)Θ - 1
10. tan(square)Θ sin(square)Θ≡tan(square)Θ - sin(square)Θ
11. tan(square)(90°-Θ) - cos(square)Θ≡tan(square)(90°-Θ) cos(square)Θ
Trigonometric Relations
2009-03-16 6:40 am
回答 (1)
2009-03-16 7:09 am
✔ 最佳答案
8. L.H.S=sin2Θ- sin2(90-Θ)=sin2Θ- cos2Θ
=-(cos2Θ-sin2Θ)
=-cos2Θ
=-(1-2sin2Θ)
=2sin2Θ-1
=R.H.S.
2009-03-15 23:19:28 補充：
10.
http://g.imagehost.org/0727/ScreenHunter_05_Mar_15_23_16.gif
2009-03-15 23:29:23 補充：
11.
http://g.imagehost.org/0192/ScreenHunter_06_Mar_15_23_27.gif
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