Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

The value of
 sum from r equals 0 to 9 of sin squared open parentheses πr over 18 close parentheses space space i s space e q u a l space t o
left parenthesis A right parenthesis 9 over 2 space space space left parenthesis B right parenthesis 7 over 2 space space space left parenthesis C right parenthesis 5 space space space space space left parenthesis D right parenthesis 4
Asked by araima2001 | 04 Apr, 2017, 04:06: AM
answered-by-expert Expert Answer
begin mathsize 16px style begin inline style sum from straight r equals 0 to straight r equals 9 of end style space sin squared open parentheses πr over 18 close parentheses
equals space sin squared open parentheses 0 close parentheses plus space sin squared open parentheses fraction numerator pi cross times 1 over denominator 18 end fraction close parentheses plus space sin squared open parentheses fraction numerator pi cross times 2 over denominator 18 end fraction close parentheses plus space sin squared open parentheses fraction numerator pi cross times 3 over denominator 18 end fraction close parentheses plus........... plus space sin squared open parentheses fraction numerator pi cross times 9 over denominator 18 end fraction close parentheses
Now space we space will space convert space radian space angles space in space degrees comma
equals 0 plus space sin squared open parentheses 10 close parentheses plus space sin squared open parentheses 20 close parentheses plus space sin squared open parentheses 30 close parentheses plus space sin squared open parentheses 40 close parentheses plus space sin squared open parentheses 50 close parentheses plus space sin squared open parentheses 60 close parentheses plus space sin squared open parentheses 70 close parentheses plus space sin squared open parentheses 80 close parentheses plus space sin squared open parentheses 90 close parentheses
equals space open square brackets sin squared open parentheses 10 close parentheses plus sin squared open parentheses 80 close parentheses close square brackets plus space open square brackets sin squared open parentheses 20 close parentheses plus sin squared open parentheses 70 close parentheses close square brackets plus open square brackets sin squared open parentheses 30 close parentheses plus sin squared open parentheses 60 close parentheses close square brackets plus open parentheses sin squared open parentheses 40 close parentheses plus space sin squared open parentheses 50 close parentheses close parentheses plus sin squared open parentheses 90 close parentheses
Using space sin squared straight theta equals cos squared open parentheses 90 degree minus straight theta close parentheses space also space space sin squared straight theta plus cos squared straight theta equals 1
equals 1 plus 1 plus 1 plus 1 plus 1
equals 5
end style
Answered by Sneha shidid | 04 Apr, 2017, 01:55: PM
CBSE 11-science - Maths
ug
question image
Asked by nityaboragam | 11 Apr, 2024, 12:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by rajyothi64 | 05 Mar, 2024, 09:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by surekhashriwas01 | 12 Sep, 2023, 08:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by vinay123chintu | 08 Jun, 2023, 08:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by soumyadas098h | 02 Nov, 2022, 08:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by vermahiteshi243 | 30 Aug, 2021, 09:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by bandlapravalika4 | 25 Sep, 2020, 01:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Lalit Kariya | 12 Mar, 2020, 03:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by pb_ckt | 11 Jun, 2019, 03:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by aahnik.mohanty | 29 May, 2019, 08:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×