Question

prove that (1+tan17°) (1+tan28°) =2​

Answer 1

Answer:

U dhdhshshshshshshhsshsheueueu

Answer 2

Answer with Step-by-step explanation:

LHS

$(1+tan17^{\circ})(1+tan28^{\circ})$

$1(1+tan28)+tan17(1+tan28)$

$1+tan28+tan17+tan17tan28$...(1)

Formula:$tan(x+y)=\frac{tanx+tany}{1-tanxtany}$

Tan(28+17)=$\frac{tan28+tan17}{1-tan28tan17}$

$tan45=\frac{tan28-tan17}{1-tan28tan17}$

We know that tan45 degree=1

Substitute the values

$tan28+tan17=1-tan28tan17$

Substitute the values

$1+1-tan28tan17+tan28tan17$

$2=RHS$

LHS=RHS

Hence, proved.

#Learns more:

https://brainly.in/question/8104614