Only t a n θ tan\theta is valuable

Geometry Level 2

Find the value:

t a n ( 6 0 ∘ ) t a n ( 5 5 ∘ ) t a n ( 5 0 ∘ ) t a n ( 4 5 ∘ ) . . . . . . . . . . t a n ( − 4 5 ∘ ) t a n ( − 5 0 ∘ ) t a n ( − 5 5 ∘ ) t a n ( − 6 0 ∘ ) = ? ? tan(60^{\circ})tan(55^{\circ})tan(50^{\circ})tan(45^{\circ})..........tan(-45^{\circ})tan(-50^{\circ})tan(-55^{\circ})tan(-60^{\circ})=??

0 1 1 3 \frac{1}{\sqrt3} None of them ∞ \infty

Md Mehedi Hasan by Md Mehedi Hasan , 22, Bangladesh

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1 solution

Md Mehedi Hasan
Nov 24, 2017

If we illustrate this one time we get t a n 0 ∘ tan0^{\circ} which value is 0 0 . It is multiple with all.

So total value stands 0 \boxed0

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