Question

find tan Alpha if factor product is 16?​

Answer 1

Answer:

23

Step-by-step explanation:

Given

(1+tan1

∘

)(1+tan2

∘

)(1+tan3

∘

)⋯(1+tan45

∘

)

Let us Consider two terms

(1+tanx)(1+tan(45−x))

⟹1+tanx+tan(45−x)+tanxtan(45−x)

⟹1+tan(x+45−x)(1−tanxtan(45−x))+tanxtan(45−x)

⟹2

There are 22 such terms in given sequence

⟹(2

22

)(1+tan45

∘

)

⟹2

22

×2=2

23