Question

Tan 22° and tan 23° are roots of X2+ax+b=0 then
1) a+b+1=0
2) a-b+1=0
3) b-a+1=0
4) a+b=1​

Answer 1

Answer:

2) a-b+1=0

Step-by-step explanation:

Given :-

tan22 ∘ and tan23 ∘ are roots of x2+ax+b=0

∴tan22∘+tan23∘ = −a

tan22∘.tan23∘ = b

tan(22+23) = 1−tan22∘ tan23∘

tan22∘ + tan23∘ 1−tan22∘ tan23∘ = tan22∘ + tan23∘1−b=−a

⇒a−b+1=0

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