Tan

Geometry Level 1

tan ⁡ 1 ∘ × tan ⁡ 2 ∘ × . . . × tan ⁡ 8 9 ∘ = ? \tan 1^\circ\times\tan 2^\circ\times...\times\tan 89^\circ=?


The answer is 1.

Archiet Dev by Archiet Dev , 20, India

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1 solution

Afifah Nabila
Jun 8, 2014

you can see that tan 89 = cot 1 = 1/tan 1 then, it will be tan 1 x tan 2 x tan 3 x tan 4 x ....x 1/tan4 × 1/tan3 × 1/tan2 × 1/tan1 and we will get tan 45 as the result which is 1

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