Question

IdentidadesTrigonometricas CosA.(tanA + cotA) = CscA Ayudáaassaaaaaaaáaaaaaaaaaaaaaaa Aaaaaaaaaaaaa

Answer 1

Solución aplicando diversos identidades...

Answer 2

Identidades Trigonométricas:

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

Espero que te sirva, Saludos!!