Question

please answer this question quality answer will be marked as brainliest ​

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies \sf \frac{sin(x+y)+sin(x-y)}{sin(x-y)+sin(x+y)}=\frac{a+b+a-b}{a+b-a+b}$

$\implies \sf \frac{2sin xcosy}{2cosxsiny}=\frac{2a}{2b}\\ \\ \implies \sf (tanx)(coty)=\frac{a}{b}\\ \\ \implies \sf (tanx)(\frac{1}{tany})=\frac{a}{b}\\ \\ \implies \sf \frac{tanx}{tany}=\frac{a}{b}$