SOLUTION: Find the value of tan1 tan2 tan3 .... tan89 Solution: tan1 = cot89;tan2 = cot88...Thus, we get 44 pairs of tan x cot,thereby giving you 1 as tan is the reciprocal of cot. One that

Algebra ->  Trigonometry-basics -> SOLUTION: Find the value of tan1 tan2 tan3 .... tan89 Solution: tan1 = cot89;tan2 = cot88...Thus, we get 44 pairs of tan x cot,thereby giving you 1 as tan is the reciprocal of cot. One that      Log On


   



Question 888244: Find the value of tan1 tan2 tan3 .... tan89
Solution: tan1 = cot89;tan2 = cot88...Thus, we get 44 pairs of tan x cot,thereby giving you 1 as tan is the reciprocal of cot. One that is left out alone is tan45. But we know tan45 = 1. Hence,the answer to this question is 1.

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Find the value of tan1 tan2 tan3 .... tan89
Solution:
tan1 = cot89;tan2 = cot88...
Thus, we get 44 pairs of tan x cot,thereby giving you 1 as tan is the reciprocal of cot.
One that is left out alone is tan45.
But we know tan45 = 1.
Hence,the answer to this question is 1.