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Grade: 12

                        

If(tan 46°-tan1°-1)(tan 47°-tan2°-1)(tan 48°-tan 3°-1).........(tan 89°-tan 44°-1)=2 n .,then find the value of n.

2 years ago

Answers : (1)

Arun
24742 Points
							
Dear Kaushal
 
tan(45 + 1) – tan 1 – 1
 
 = 1 + tan1 / (1 – tan1) – tan 1 – 1
 
 = (tan^2 1 + tan1) = tan1 (1 + tan1)
 
similarily other terms will become
 
(tan 1* tan2 * tan3 *......) (1 + tan1)(1 + tan2)(1 + tan3.......)(1 + tan43)(1+ tan44)
 
 = 1 * 2*2*2*2* …...22 times
 
2^22
 
n = 22
2 years ago
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