Question

Simplifique a expressão: tg² x+1/cot g² x+1

Answer 1

Caso tenha problemas para visualizar a resposta experimente abrir  pelo navegador https://brainly.com.br/tarefa/34068222?answering=true&answeringSource=feedPublic%2FhomePage%2F9

$\sf\dfrac{tg^2(x)+1}{cotg^2(x)+1}=\dfrac{sec^2(x)}{csc^2(x)}\\\sf=\dfrac{\frac{1}{cos^2(x)}}{\frac{1}{sen^2(x)}}=\dfrac{1}{cos^2(x)}\cdot\dfrac{sen^2(x)}{1}=\dfrac{sen^2(x)}{cos^2(x)}\\\huge\boxed{\boxed{\boxed{\boxed{\sf tg^2(x)\checkmark}}}}$