Question

if 2tan a=3tab b, then show that tan (a+b)=(5sin2b)/(5cos2b-1)​

Answer 1

Step-by-step explanation:

2 tan a = 3 tan b

tan a / tan b = 3/2

a/b = 3/2

a = 3b/ 2

tan( 3b/2 + b)

tan {( 3b + 2b )/2}

tan (5b / 2)

(sin 5b /2 )/ cos 5b/ 2

next step I hope you know well