Find The Value Of tan1o tan2o tan3o …………. tan 89o

The value of (tan1o tan2o tan3o …………. tan 89) is

  1. undefined
  2. 0
  3. 1
  4. 89
Adnan Rasool Newbie Asked on 1st August 2015 in Maths.
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1 Answer(s)

Answer: (3) 1
Explanation:-

tan1o tan2o tan3o …………. tan 89o
taken, tan1o tan89o
= tan1o [cot (90 – 89)o]
= tan1o cot1o
= tan1o x 1/tan1o
= 1
Similarly, all terms up to 44o will be equal to
1 & tan45o = 1
Therefore,
tan1o tan89o tan2o tan88o ………. Tan45o = 1
Hence, the answer is (3) 1.

Anurag Mishra Professor Answered on 1st August 2015.
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