Please explain how to do this Q (1 Viewer)

[Wohzazz]

The asymptotoes of the hyperbola x*2/a*2-y*2/b*2=1 are inclined to each other at an angle @(alpha). Show that tan@=2ab/ I a*2-b*2 I

NB. 'I I' is absolute value

 

[Giant Lobster]

inclined means the smallest angle between the 2 lines
so by that, and using the gradients of the asymptotes ( b/a and -b/a) use 'acute angle between 2 lines' formula
which is

tan@ = | (m_1 - m_2)/(1 + m_1*m_2) | (absolute value cos its acute angle only)

simplify and theres ur answer.