Respuesta:
Recordar la identidad del seno de una suma:
Sen(a+b) = Cos(a)Sen(b) + Sen(a)Cos(b)
Por lo tanto:
Sen(2x) = Sen(x + x) = Cos(x)Sen(x) + Sen(x)Cos(x)
= 2Cos(x)Sen(x).
Sen(2x) = Cos(x)
2Cos(x)Sen(x) = Cos(x)
2 Sen(x) = Cos(x) / Cos(x)
2 Sen(x) = 1
Sen(x) = ½
x = arcsen(½)
x = 30
x - 10 = 30 - 10 = 20
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Verified answer
Respuesta:
Recordar la identidad del seno de una suma:
Sen(a+b) = Cos(a)Sen(b) + Sen(a)Cos(b)
Por lo tanto:
Sen(2x) = Sen(x + x) = Cos(x)Sen(x) + Sen(x)Cos(x)
= 2Cos(x)Sen(x).
Por lo tanto:
Sen(2x) = Cos(x)
2Cos(x)Sen(x) = Cos(x)
2 Sen(x) = Cos(x) / Cos(x)
2 Sen(x) = 1
Sen(x) = ½
x = arcsen(½)
x = 30
x - 10 = 30 - 10 = 20