What is the value of sinh(2x)? The expression in the numerator can be rewritten as a difference between squares. The amplitude of the resulting mo...
What is the value of sinh(2x)?
The expression in the numerator can be rewritten as a difference between squares.
The amplitude of the resulting movement is √3.
The phase of the resulting movement is -π/3.
a) 2sinh(x)cosh(x)
b) (e^x + e^-x)/2
c) ((e^x)^2 + (e^-x)^2)/2
d) (e^x - e^-x)/2
The expression in the numerator can be rewritten as a difference between squares.
The amplitude of the resulting movement is √3.
The phase of the resulting movement is -π/3.
a) 2sinh(x)cosh(x)
b) (e^x + e^-x)/2
c) ((e^x)^2 + (e^-x)^2)/2
d) (e^x - e^-x)/2
💡 1 Resposta
Ed 
A resposta correta é a letra d) (e^x - e^-x)/2. Para resolver essa questão, podemos utilizar a identidade trigonométrica senh(2x) = 2cosh(x)senh(x). Substituindo senh(x) por (e^x - e^-x)/2 e cosh(x) por (e^x + e^-x)/2, temos: senh(2x) = 2cosh(x)senh(x) senh(2x) = 2(e^x + e^-x)/2 * (e^x - e^-x)/2 senh(2x) = (e^2x - 1)/(2e^x) Portanto, a resposta correta é a letra d) (e^x - e^-x)/2.
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