Question

if tan a + b is equal to root 3 and 10 a minus b is equal to 1 by root 3

Answer 1

Solution :

tan (a+b) = root3

We also know that, tan(pie/3) = root3

So, a+b = pie/3...............eqn.1

And also, 10a-b = 1/root3..............eqn.2

By solving eqn.1 and eqn.2 simultaneously,

We get a = (pie + root3)/33

b = (34root3 - pie)/33