(1+tan1)(1+tan2)(1+tan3)........(1+tan45)=2^n then n=.....

(1+tan1)(1+tan2)(1+tan3)........(1+tan45)=2^n then n=.....


1 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
12 years ago

Dear Vivek

Here you have to make pairs such that sum of angle is 45 like (1+tan1)(1+tan44) and (1+tan2)(1+tan43) etc there will be 22 pairs like this and one single term 1+tan45 which is equal to two

you have to apply sin(90-A)=cosA etc

now see the pic for solution

All the best.                                                           




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