Tan22° + tan23° tan22°. tan23° = 1 prove that

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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