Question

If tan a =a/a+1 and tanb =1/2a+1 what is the value of a+b

Answer 1

SOLUTION

tan (A+B)= tanA + tanB/1-tanA.tanB

=)a/(a+1)+ 1/(2a+1)/1-a/(a+1).1/(2a+1)

=)a(2a+1)+(a+1)/(a+1)(2a+1)/(a+1)(2a+1)-a/(a+1)(2a+1)

=)2a^2 + a + m+1/2m^2 +m +2m+1-m

=)2a^2 +2a+1/2a^2 +2a+1

=) tan(A+B)= 1

=) A+B= tan^-1 1

=) A+B= π/4

Hope it helps ☺️