Question

If tan(A+B)= p, tan( A - B)=q find tan 2 A.​

Answer 1

Answer:

tan2A=tan(A+A)

=tan{(A+B)+(A-B) }

tan(A+B)+tan(A-B)

=---------------------------------

1-tan(A+B)tan(A-B)

( p + q)

=--------------------

( 1 - p q)

Answer 2

AnswEr :

➟ tan 2A

➟ tan (A + A)

➟ tan (A + A + B - B)

➟ tan [(A + B) + (A - B)]

➟ tan(A + B) + tan(A - B)

• tan(A + B) = p and, tan(A - B) = q

➟ p + q

$\therefore$ tan 2A = p + q