What is the value of (tan7.tan83)(tan23.tan67).tan60 ?

Asked by  | 31st Jul, 2008, 03:45: PM

Expert Answer:

tan7=tan(90 - 83) = cot83

tan23 = tan(90- 67) = cot23

 (tan7.tan83)(tan23.tan67).tan60  = 1.1.tan60 = tan60 = root 3

(since, tanA . cotA = 1)

Answered by  | 31st Jul, 2008, 08:54: PM

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