Question

Prove that tan22° + tan23° + tan22°. tan23° = 1 ​

Answer 1

ooo....

Explanation:

22° + 23° = 45°

taking tan on both side

or,tan(22° + 23°)=tan45°

or,(tan22° + tan23°)/(1-tan22°. tan23°)=1

or,tan22° + tan23° =1- tan22°. tan23°

or,tan22° + tan23° + tan22°. tan23° = 1 ​

proved

Answer 2

Hope you got it....

Explanation:

1=tan45∘

1=tan(22∘+23∘)

1=tan22∘+tan23∘1−tan22∘tan23∘

1−tan22∘tan23∘=tan22∘+tan23∘

1=tan22∘+tan23∘+tan22∘tan23∘

It will be the same for any two angles that add up to 45∘.