Hola
cos(9) + cos(3) = cos(6 + 3) + cos(6 - 3)
cos(9) + cos(3) = cos(6) cos(3) - sen(6) sen(3)
+ cos(6) cos(3) + sen(6) sen(3)
cos(9) + cos(3) = 2 cos(6) cos(3)
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sen(9) + sen(3) = sen(6 + 3) + sen(6 - 3)
sen(9) + sen(3) = sen(6) cos(3) + cos(6) sen(3)
+ sen(6) cos(3) - cos(6) sen(3)
sen(9) + sen(3) = 2 sen(6) cos(3)
(cos(9) + cos(3))/(sen(9) + sen(3)) =
= (2 cos(6) cos(3)) (2 sen(6) cos(3))
(cos(9) + cos(3))/(sen(9) + sen(3)) = cos(6) / sen(6)
(cos(9) + cos(3))/(sen(9) + sen(3)) = cot(6)
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Verified answer
Hola
cos(9) + cos(3) = cos(6 + 3) + cos(6 - 3)
cos(9) + cos(3) = cos(6) cos(3) - sen(6) sen(3)
+ cos(6) cos(3) + sen(6) sen(3)
cos(9) + cos(3) = 2 cos(6) cos(3)
***************************************
sen(9) + sen(3) = sen(6 + 3) + sen(6 - 3)
sen(9) + sen(3) = sen(6) cos(3) + cos(6) sen(3)
+ sen(6) cos(3) - cos(6) sen(3)
sen(9) + sen(3) = 2 sen(6) cos(3)
***************************************
(cos(9) + cos(3))/(sen(9) + sen(3)) =
= (2 cos(6) cos(3)) (2 sen(6) cos(3))
(cos(9) + cos(3))/(sen(9) + sen(3)) = cos(6) / sen(6)
(cos(9) + cos(3))/(sen(9) + sen(3)) = cot(6)
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