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1) cosecante(a) = 1 / sen(a)
2) cos(a)*cos(a) =
Se sabe que sen(a)*sen(a) + cos(a)*cos(a) = 1
luego = cos(a)*cos(a) = 1 - sen(a)*sen(a)
3) tan(a)*tan(a) = sen(a)*sen(a) / ( cos(a)*cos(a))
reemplazamos el valor de cos(a)*cos(a) determinado en el punto 2)
es decir =
tan(a)*tan(a) = sen(a)*sen(a)/ (1-sen(a)*sen(a))