(1+tan1)(1+tan2)................(1+tan45)=2kfind k
Anurup De , 7 Years ago
Grade 12
1 Answers
Gourav
Last Activity: 7 Years ago
(1+tan1)(1+tan44)=1+tan1+tan44+tan1.tan44[tan (44+1)=tan1+tan44/1-tan1.tan44Or, tan1+tan44=1-tan1.tan44 since tan45=1]Substituting , we get,1+tan1.tan44 +1-tan1.tan44=2Similarly, all the bracket pairs exclusive of (1+tan45) give 2 each. Hence answer=2^23.Therefore k=23
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free