Download the app

Questions  

If  a1,a2,,an are in A.P., with common difference  d0 then sum of the series sindcoseca1coseca2+coseca2coseca3++cosecan1cosecanis 

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
sec⁡a1−sec⁡an
b
cosec⁡a1−cosec⁡an
c
cot⁡a1−cot⁡an
d
tan⁡a1−tan⁡an

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

sin⁡dcosec⁡a1cosec⁡a2+cosec⁡a2cosec⁡a3+⋯+cosec⁡an−1cosec⁡an=sin⁡a2−a1sin⁡a1sin⁡a2+sin⁡a3−a2sin⁡a2sin⁡a3+⋯+sin⁡an−an−1sin⁡an−1sin⁡an=cot⁡a1−cot⁡a2+cot⁡a2−cot⁡a3+⋯+cot⁡an−1−cot⁡an=cot⁡a1−cot⁡an


Similar Questions

The sum of the first n  terms of the series

12+2.22+32+2.42+52+2.62+..........  is n(n+1)22,  when n  is even. When n  is odd the sum is


whats app icon
phone icon