Question

if tan(x+y)=3/4 and tan(x-y)=8/15 find tan 2x​

Answer 1

Step-by-step explanation:

let (x+y) =a

(x-y)= b

x+y+x-y=2x

a+b=2x

on multiply bothside by tan

tan(a+b)=tan2x

(tana+tanb)/1-tana•tanb= tan2x

(3/4+8/15)/1-3/4•8/15=tan2x

(77/60)/1-24/60=tan2x

77/60/36/60=tan2x

77/36=tan2x

#666