Question

if tan(A+B) : tan(A-B) = 1 : 2 and Sin 2A + K Sin 2B = 0 , then find the Value of K ?

Answer 1

@waterineyes @satellite73

Answer 2

*

Answer 3

@shubhamsrg @hartnn

Answer 4

sin(a+b) cos(a-b) / sin(a-b) cos(a+b) = 1/2

=>sin(2a) + sin(2b) / sin(2a) - sin(2b) = 1/2

we know, sin2a /sin2b = -k

on little observation/substitution , we see we have

-k +1 / -k -1 = 1/2

just solve for k

Answer 5

thxxxx

Answer 6

glad to help! :)