Home
Class 11
MATHS
Prove that 2 "cos"(pi)/13"cos"(9pi)/13+...

Prove that
`2 "cos"(pi)/13"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13=0`

Answer

Step by step text solution for Prove that 2 "cos"(pi)/13"cos"(9pi)/13+"cos"(3pi)/13+"cos"(5pi)/13=0 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 3.4|9 Videos
  • STRAIGHT LINES

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 10|24 Videos

Similar Questions

Explore conceptually related problems

Prove that cos""(2pi)/7.cos""(4pi)/7.cos""(8pi)/7=1/8 .

For A in R , prove that cos""pi/9.cos""(2pi)/9.cos""(3pi)/9.cos""(4pi)/9=1/16

Knowledge Check

  • "Cos"(2pi)/15."Cos"(4pi)/15."Cos"(8pi)/15."Cos"(14pi)/15=

    A
    `1/2`
    B
    `1/4`
    C
    `1/8`
    D
    `1/16`
  • "cos"^(2)pi/10+"cos"^(2)(2pi)/5+"cos"^(2)(3pi)/5+"cos"^(2)(9pi)/10=

    A
    1
    B
    2
    C
    4
    D
    6
  • If "cos"(pi)/(15) "cos"(2pi)/(15) "cos"(4pi)/(15) "cos"(5pi)/(15) "cos"(7pi)/(15) "cos"(30pi)/(15) =x, " then " (1)/(8x) =

    A
    4
    B
    `(1)/(4)`
    C
    8
    D
    `(4)/(3)`
  • Similar Questions

    Explore conceptually related problems

    Show that "cos"(pi)/65"cos"(2pi)/65"cos"(4pi)/65"cos"(8pi)/65"cos"(16pi)/65"cos"(32pi)/65=1/64

    Show that (1+"cos"pi/9).(1+"cos"(3pi)/9).(1+"cos"(5pi)/9).(1+"cos"(7pi)/9)=9/16

    Show that costhetacos(60^(@)+theta)cos(60^(@)-theta)=1/4 cos3theta and hence deduce that "cos"pi/9"cos"(3pi)/9"cos"(5pi)/9"cos"(7pi)/9=1/16 (T.S.MAY-2016)

    cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

    "cos" (2pi)/(7)+"cos" (4pi)/(7)+"cos"(6pi)/(7)=