• Want to help us with this year's BoS Trials?
    Let us know before 30 June. See this thread for details
  • Looking for HSC notes and resources?
    Check out our Notes & Resources page

Limiting sum trig (1 Viewer)

enigma_1

enigma_1

~~~~ Miss Cricket ~~~~
Joined
Feb 27, 2013
Messages
4,282
Location
Lords
Gender
Female
HSC
2014
Can you help me with this?

Find in terms of t=tan1/2x, the limiting sum of this series as it converges:

1-sinx + sin^2x - ....
 
Last edited:
C

cineti970128

Member
Joined
Apr 25, 2012
Messages
139
Gender
Male
HSC
2014
The first term is 1 and common ratio is -2t/(1+t^2)
So use the GP infinite formula a/(1-r)
Note that |sinx|<= 1 so you can use day formula.
 
You must log in or register to reply here.

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top