cot ² 45° cos² 30° tan² 60° cot² 30°

[tex] \frac{cos \: {}^{2} 45}{sin {}^{2} 45} .cos {}^{2} 30. tan \: { }^{2} 60. \frac{cos {}^{2} 30}{sin {}^{2} 30} \\ \frac{ (\frac{1}{2} \sqrt{2} ) {}^{2} }{( \frac{1}{2} \sqrt{2} ) {}^{2} } .( \frac{1}{2} \sqrt{3} {)}^{2} .(1) {}^{2} \frac{( \frac{1}{2} \sqrt{3} ) {}^{2} }{( \frac{1}{2} {}^{2} ) \frac{}{} } \\ = \frac{ \frac{1}{2} }{ \frac{1}{2} } . \frac{3}{4} . \frac{ \frac{3}{4} }{ \frac{1}{4} } \\ = \frac{3}{4} .3 \\ = \frac{9}{4} [/tex]