Home
Class 11
MATHS
Prove that: (1+cospi/8)(1+cos(3pi)/8)(1+...

Prove that: `(1+cospi/8)(1+cos(3pi)/8)(1+cos(5pi)/8)(1+cos(7pi)/8)=1/8`

Answer

Step by step text solution for Prove that: (1+cospi/8)(1+cos(3pi)/8)(1+cos(5pi)/8)(1+cos(7pi)/8)=1/8 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

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(i)Long Answer type Question-I|3 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(i)Long Answer type Question-II|1 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(h)Long Answer type Question-I|1 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

Prove that (1 + cos(pi/8))(1 + cos(3pi/8))(1 + cos(5pi/8))(1 + cos(7pi/8)) = 1/8

Prove that: (1+cos(pi)/(8))(1+cos(3 pi)/(8))(1+cos(5 pi)/(8))(1+cos(7 pi)/(8))=(1)/(8)

Knowledge Check

  • (1+cos (pi//8))(1+cos(3pi//8))(1+cos(5pi//8)) (1+cos(7pi//8))=

    A
    `1//2`
    B
    `cos(pi//8)`
    C
    `1//8`
    D
    `(1+sqrt(2))//2sqrt(2)`

    • Similar Questions

    Explore conceptually related problems

    Evaluate: (1+cos(pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos (7pi/8))

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

    Prove that :16cos2(pi)/(15)cos4(pi)/(15)cos8(pi)/(15)cos16(pi)/(15)=1

    Prove that cos((pi)/(8))+cos((3 pi)/(8))+cos((5 pi)/(8))+cos((7 pi)/(8))=0

    Prove that (1+cos(pi/10))(1+cos(3pi/10))(1+cos(7pi/10))(1+cos(9pi/10))=1/16

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

    Prove that: (cos pi)/(5)(cos(2 pi))/(5)(cos(4 pi))/(5)(cos(8 pi))/(5)=(-1)/(6)

    Home
    Profile