Question

tan45+tan20/1-tan45tan20=tan65

Answer 1

$\bold{Answer :}$

We know that,

tan (A + B) = (tanA + tanB)/(1 - tanA tanB)

Now,

L.H.S.

= (tan45 + tan20)/(1 - tan45 tan20)

= tan (45 + 20)

= tan65

= R.H.S.

Hence, proved.

#$\bold{MarkAsBrainliest}$

Answer 2

Heya !

Tan45 + Tan20 / 1 - Tan45 Tan20 = Tan 65.

LHS = Tan45 + Tan20 / 1 - Tan45+Tan20

We know that,

(TanA + TanB ) / 1 - Tan A + TanB = Tan ( A + B )

So,

Tan45 + Tan20 / 1 - Tan45 + Tan20

=> Tan ( 45 + 20 )

=> Tan65

Hence,

LHS = RHS = Tan65.