Home
Class 12
MATHS
Let f (x) =ax ^(2) + bx+ c where a,b,c a...

Let `f (x) =ax ^(2) + bx+ c` where a,b,c are integers. If `sin ""pi/7. sin "" (3pi)/(7) + sin "" (5x)/(7) + sin ""(5pi)/(7) sin"" (5pi)/(7)+ sin ""(pi)/(7) =f (cos ""(pi)/(7)),` then find the value of `f (2):`

Text Solution

Verified by Experts

The correct Answer is:
9
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\ (3pi)/7 + sin\ (3pi)/7 * sin\ (5pi)/7 + sin\ (5pi)/7 * sin\ (pi)/7=f(cos\ (pi)/7) . then find the value of f(2):

sin "" (pi)/(5) sin "" (2pi)/(5) sin ""(4pi)/(5) sin""(3pi)/(5) = (5)/(16).

Knowledge Check

  • Value of sin""(pi)/(18)*sin""(5pi)/(18)*sin""(7 pi)/(18) =

    A
    `(1)/(2^(2))`
    B
    `(1)/(2^(4-1))`
    C
    `(1)/(2^(2)-1)`
    D
    `(1)/(2^(3-1))`

    • Similar Questions

    Explore conceptually related problems

    The value of sin""(2pi)/(7)+sin""(4pi)/(7)+sin""(8pi)/(7), is

    sin ^(4) "" (pi)/(8) + sin ^(4) "" (3pi)/(8) + sin ^(4) "" (5pi)/(8) + sin ^(4)"" (7pi)/(8) = (3)/(2).

    The value of sin""(15pi)/(32)sin""(7pi)/(16)sin""(3pi)/(8), is

    Prove that: sin ((pi)/(7))+sin((2pi)/(7)) + sin((8pi)/(7)) + sin((9pi)/(7))=0

    the value of sin(pi/7)+sin((2pi)/7)+sin((3pi)/7) is

    Find the value of cos""(pi)/(12)(sin""(5pi)/(12)+cos""(pi)/(4))+sin""(pi)/(12)(cos""(5pi)/(12)-sin""(pi)/(4)) .

    The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

    Home
    Profile