The Value of tan1° tan2° tan3° ……………….tan89° is:

  1. 1
  2. 0
  3. -1
  4. None
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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1 Answer(s)

Answer: (1) 1
Explanation:-
tan1otan2otan3o……………………..tan89o
= tan(90 – 89)o tan(90 – 88)o ……………….. tan (90 – 45)o…………..tan88otan89o.
= cot89ocot88o………………tan45o…………tan88otan89o.
= cot89o/cot89ocot88o/cot88o…………. tan45o.     (tanA = 1/cotA)
= 1.tan45o
= 1.1
= 1
Then, The Value of tan1° tan2° tan3° ……………….tan89° is 1.

Hence, the answer is (1) 1.

Anurag Mishra Professor Answered on 2nd September 2015.
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