Question

Tan22+tan 23+tan22tan23=1
Prove

Answer 1

$\textbf{Answer :}$

We know that,

tan45° = 1

⇒ tan(22° + 23°) = 1

⇒ (tan22° + tan23°)/(1 - tan22° tan23°)=1,

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

⇒ tan22° + tan23° = 1 - tan22° tan23°

⇒ tan22° + tan23° + tan22° tan23° = 1

Hence, proved.

#$\textbf{MarkAsBrainliest}$