Trig. Identity

2010-09-27 3:35 pm
Prove the identity
[4 sin^2 (2x) cos^2 (x)] /[1 + 4 cos^2 (x) + 4 cos(2x) cos x] = sin^2 (x/8)
更新1:

Correction : Prove that the identity is true for x = 80 degree.

更新2:

To : 001. Do you think the identity is true for all other values of x? Or for a limited range of x ? Or for x = 80 only?

回答 (1)

2010-09-27 10:30 pm
✔ 最佳答案
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2010-09-27 14:30:23 補充:
http://img441.imageshack.us/img441/1327/57149989.png

2010-09-27 20:26:00 補充:
There are many solutions, for example in the range 0<=x<=360 we have
x=0, 80, 107.9, 174.5, 185.9, 240, 288 and 328.1
80 is just a particular solution


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