The-value-of-the-expression-3-tan-2-1-3-tan-2-2-3-tan-2-3-3-tan-2-89-is-equal-to-

Question Number 17921 by Tinkutara last updated on 12/Jul/17

The value of the expression

(3 - \tan^{2} 1 °) (3 - \tan^{2} 2 °) (3 - \tan^{2} 3 °) \dots . (3 - \tan^{2} 89 °)

is equal to

Commented by Tinkutara last updated on 12/Jul/17

Thanks Sir! I {didn}^{'} t think this was also a

term!

Commented by alex041103 last updated on 12/Jul/17

B u t \dots w h y ? ? ?

C a n y o u e x p l a i n, s i r ?

Commented by Tinkutara last updated on 12/Jul/17

3 - \tan^{2} 60 ° = 3 - {(\sqrt{3})}^{2} = 0 and it is

one of the terms in the product so final

answer is 0 .

Commented by ajfour last updated on 12/Jul/17

3 - \tan^{2} 60 ° = 0

Commented by alex041103 last updated on 12/Jul/17

t h a n k y o u s i r