Question

pregunta 4 Calcular E = (7tg10 - 2ctg80) (ctg10 + tg80)

Answer 1

Respuesta:

E = 10

Explicación paso a paso:

E = (7tg10 - 2ctg80)(ctg10 + tg80)

= 7tg10·ctg10 + 7tg10·tg80 - 2ctg80·ctg10 -2ctg80·tg80

La cotangente es la inversa de la tangente.

=> E = 7 + 7tg10·tg80 - 2ctg80·ctg10 - 2

= 5 + 7tg10·tg80 - 2ctg80·ctg10

tg(90º - A) = ctg(A)

=> E = 5 + 7ctg80·tg80 - 2ctg80·tg80

= 5 + 7 - 2

= 10