Question

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Answer 1

Answer:

$\frac{1 - { \tan( \alpha ) }^{2} }{ { \cot( \alpha ) }^{2} - 1} \\ = \frac{ { \sec( \alpha ) }^{2} }{ - { \csc( \alpha ) }^{2} } \\ = - \frac{ { \sin( \alpha ) }^{2} }{ { \cos( \alpha ) }^{2} } \\ = - { \tan( \alpha ) }^{2}$

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Answer 2

Answer:

$\frac{1 - { \tan( \alpha ) }^{2} }{ { \cot( \alpha ) }^{2} - 1} \\ = \frac{ { \sec( \alpha ) }^{2} }{ - { \csc( \alpha ) }^{2} } \\ = - \frac{ { \sin( \alpha ) }^{2} }{ { \cos( \alpha ) }^{2} } \\ = - { \tan( \alpha ) }^{2}$

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