Question

Simplifica a expressão cotg^2x/1+cossec x

Answer 1

cot²x/1+cossec x=  cos²x/sen²x/ 1 + 1/sen x= cos²x/sen²x/( sen x +1)/senx

=cos²x/sen²x  . senx/senx +1=co²x/sen²x +sen x=1/sen²x/cos²x +senx/cos²x

=1/ tg²x +tgx.secx= 1/tgx(tgx +secx)= cotg x/secx +tgx