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Prove that: cos^(2)pi/8 + cos^(2)(3pi)...

Prove that:
`cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(2)(7pi)/(8)=2`

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Prove that: cos^(4)(pi)/(8)+cos^(4)(3 pi)/(8)+cos^(4)(5 pi)/(8)+cos^(4)(7 pi)/(8)=(3)/(2)

Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/8=3/2

Knowledge Check

  • sin^(2)pi/8+sin^(2)(3pi)/(8)+sin^(2)(5pi)/(8)+sin^(2)(7pi)/(8)=?

    A
    `-1`
    B
    1
    C
    `-2`
    D
    2

  • cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7pi)/(16)=?

    A
    0
    B
    1
    C
    2
    D
    3

  • The value of cos^4(pi/8)+ cos^4((3pi)/8) + cos^4(5 pi)/8)+ cos^4((7pi)/8) is

    A
    0
    B
    `1/2`
    C
    `3/2`
    D
    1

    • Similar Questions

    Explore conceptually related problems

    (cos^(2)pi)/(8)+(sin^(2)(3 pi))/(8)+(sin^(2)(5 pi))/(8_(sin)^(2))(7 pi)/(8)=2

    Prove that: sin^(2)pi/8+sin^(2)(3pi)/(8)+sin^(2)(5pi)/8+sin^(2)(7pi)/8=2

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

    cos ((pi) / (8)) cos ((3 pi) / (8)) cos ((5 pi) / (8)) cos ((7 pi) / (8)) =

    The value of "cos"^(4)(pi)/(8)+"cos"^(4)(3pi)/(8)+"cos"^(4)(5pi)/(8)+"cos"^(4)(7pi)/(8) is

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