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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