Question

$\sqrt{(tan(90 - 0)(tan(89 - 1)....(tan(0 - 90) = }$
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Answer 1

Answer:

tan 1 . tan 2 . tan 3 … tan (90 – 3 ) . tan ( 90 – 2 ) . tan ( 90 – 1)

tan 1 . tan 2 . tan 3 … cot 3 . cot 2 . cot 1

tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 … tan 89 . cot 89

We know that tanA.cotA=1

1 x 1 x 1 x 1 x … x 1

As 1ⁿ = 1