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Tan1.tan 2. ......tan44 - tan 46 . tan 47......tan 89 = ? 《a) >0 b)>=0 c)

Tan1.tan 2. ......tan44 - tan 46 . tan 47......tan 89 = ? 《a) >0 b)>=0 c)

Grade:10

1 Answers

Arun
25763 Points
4 years ago
we can write tan 46 = tan(90 –44) = cot 44
similarily tan 47 = cot 43
then we get the question as 
tan 1. tan 2. tan3. …...tan44 – cot 1. cot 2. cot3. …...cot44
we know that- from 0 to 45 degree cot x is greater than tanx
thus its value will be negative.

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