Use app×
QUIZARD
QUIZARD
JEE MAIN 2026 Crash Course
NEET 2026 Crash Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
6.3k views
in Trigonometry by (92.4k points)
closed by
The value of `cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)/(11)+cos""(9pi)/(11),` is

1 Answer

0 votes
by (92.6k points)
selected by
 
Best answer
Correct Answer - `1//2`
We have
`cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)/(11)+cos""(9pi)/(11)`
`=(cos((5pi)/(11)).sin((pi)/(11)+(9pi)/(1))/(2))/(sin((pi)/(11)))`
`=(cos""(5pi)/(11)sin""(5pi)/(11))/(sin""(pi)/(11))=(1)/(2)((10pi)/(11))/(sin((pi)/(1)))=(1)/(2)`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...