eliminate parameter t when

x= ln(sqrt(1+t^2)+t) and y = sqrt(t^2+1)

1 answer

e^x = sqrt(t^2+1) + t
e^x = y + t
but
y^2 = t^2+1
t^2 = y^2-1
t = sqrt (y^2-1)
so

e^x = y + sqrt(y^2-1)
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