Respuesta :

Answer:

see explanation

Step-by-step explanation:

Consider the left side

1 + cot²A

= 1 + [tex]\frac{cos^2A}{sin^2A}[/tex]

= [tex]\frac{sin^2A+cos^2A}{sin^2A}[/tex]

= [tex]\frac{1}{sin^2A}[/tex]

= cosec²A

= right side, thus proven