Question

Prove a seguinte equação
tg^2×. cossec^2x = 1+tg^2​

Answer 1

$\Large\boxed{\begin{array}{l}\sf tg^2x\cdot cossec^2x=tg^2(x)\cdot(1+cotg^2(x))\\\\\sf=tg^2(x)+ \diagup\!\!\!\!tg^2(x)\cdot\dfrac{1}{\diagup\!\!\!\!tg^2(x)}=tg^2(x)+1\checkmark\end{array}}$