Respuesta:
El valor de x es 7
Explicación paso a paso:
Calcula "x":
Datos:
tag θ = 2/3
tag 2θ = (x+2)/3
Resolvamos:
tan (2θ) = (2 × tan(θ)) / (1 - tan² (θ))
(x+2)/3 = (2 × (2/3)) / (1 - (2/3)²)
(x+2)/3 = (4/3) / (1 - (4/9))
(x+2)/3 = (4/3) / (5/9)
(x+2)/3 = 45/15
15(x+2) = 45 × 3
15x + 30 = 135
15x = 135 - 30
15x = 105
x = 105/15
x = 7
Por lo tanto, el valor de x es 7
eso es todo :D
SALUDOS!!
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Respuesta:
El valor de x es 7
Explicación paso a paso:
Calcula "x":
Datos:
tag θ = 2/3
tag 2θ = (x+2)/3
Resolvamos:
tan (2θ) = (2 × tan(θ)) / (1 - tan² (θ))
(x+2)/3 = (2 × (2/3)) / (1 - (2/3)²)
(x+2)/3 = (4/3) / (1 - (4/9))
(x+2)/3 = (4/3) / (5/9)
(x+2)/3 = 45/15
15(x+2) = 45 × 3
15x + 30 = 135
15x = 135 - 30
15x = 105
x = 105/15
x = 7
Por lo tanto, el valor de x es 7
Verified answer
eso es todo :D
SALUDOS!!