1.\(\displaystyle{ tgx + ctg x= 4sin2x}\)
2.\(\displaystyle{ \sqrt{3}cosx + sinx = \sqrt{2}}\)
3.\(\displaystyle{ sin ^{3}x + cos ^{3}x = 1}\)
4.\(\displaystyle{ cos ^{2}x - \frac{2 ^{3} }{3}sinx*cosx - sin ^{2}x=0}\)
5.\(\displaystyle{ sinx*sin( \frac{\pi}{3}+x)*sin( \frac{2\pi}{3}+x)= \frac{1}{4}}\)
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[ Dodano: 27 Lutego 2008, 22:00 ]
w 4. powinno być:
4.\(\displaystyle{ cos ^{2}x - \frac{2 \sqrt{3} }{3}sinx*cosx - sin^{2}x=0}\)