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(senx/cosx + cosx/senx)
(1/cosx)/
((senx^2+cosx^2)/cosx.senx)
remplazando la identidad senx^2+cosx^2=1
entonces
(1/cosx)/(1/cosx.senx)
aplicando extremos con extremos y medios con medios me quedara
cosx.senx/ cosx
simplificando
me queda senx