For a certain hyperbola \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1,\) where \(a>b \) the angle between the asymptotes is \(60^\circ.\). Find \(\frac{a}{b}.\)
See the image below :
The equation of the hyperbola is
x^2 y^2
____ - _____ = 1
3 1
a = √3
b = 1
So
a / b = √3 / 1
Thank You so much. This helps a lot!!
+143 
