Question

Verify the Identity!!

Answer 1

Check the proof below

Explanation:

try to verify from RHS to LHS

(Tan a + tan b) / (tan a - tan b)

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

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

= sin (a+b) / sin (a-b)

Fyi

sin(A+B) = sinAcosB+cosAsinB

sin(A-B) = sinAcosB-cosAsinB