Ответы и объяснения

  • Yena
  • главный мозг
2013-03-14T18:30:14+00:00

\frac{cos^2(x+\frac{\pi}{2})(\frac{1}{sin^2(x-\frac{3\pi}{2})}-1)(tg^2(x-\frac{\pi}{2})+1)}{ctg^2(x+\frac{3\pi}{2})+1}=\frac{sin^2x(\frac{1}{cos^2x}-1)(ctg^2x+1)}{tg^2x+1}=

=\frac{sin^2x(\frac{1}{cos^2x}-1)*\frac{1}{sin^2x}}{\frac{1}{cos^2x}}=(\frac{1}{cos^2x}-1)*cos^2x=1-cos^2x=sin^2x

 

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