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cos^(2)((3 pi)/(5))+cos^(2)((4 pi)/(5))=...

`cos^(2)((3 pi)/(5))+cos^(2)((4 pi)/(5))=`

Answer

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5.if the expression cos^(2)((pi)/(11))+cos^(2)((2 pi)/(11))+cos^(2)((3 pi)/(11))+cos^(2)((4 pi)/(11))+cos^(2)((5 pi)/(11)) has the value equal to p/q in it lowest from ; then find (p+q)

Show that if n>2cos^(2)((pi)/(n))+cos^(2)((3 pi)/(n))+cos^(2)((5 pi)/(n))+...nterms=(n)/(2)

Knowledge Check

  • The value of cos^(2)((3pi)/(5))+cos^(2)((4pi)/(5)) is equal to

    A
    `3//4`
    B
    `5//4`
    C
    `5//2`
    D
    `4//5`

  • What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-sec((pi)/(3))+5tan^(2)((pi)/(3))+sin^(2)((pi)/(8)) ?

    A
    `8`
    B
    `10`
    C
    `16`
    D
    `18`

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    THe value of cos^(2)((pi)/(12))+cos^(2)((pi)/(4))+cos^(2)((5 pi)/(12)) is

    cos^(-1)((3)/(5))+cos^(-1)((4)/(5))=(pi)/(2)

    The value of cos^(2)((pi)/(20))+cos^(2)((2 pi)/(20))+cos^(2)((3 pi)/(4))+......+cos^(2)((9 pi)/(20)) is

    Find the value of cos^(2)(pi)/(16)+cos^(2)(3 pi)/(16)+cos^(2)(5 pi)/(16)+cos^(2)(7 pi)/(16)

    cos ((pi) / (15)) cos ((2 pi) / (15)) cos ((3 pi) / (15)) cos ((4 pi) / (15)) cos ((5 pi) / (15)) cos ((6 pi) / (15)) cos ((7 pi) / (15)) = (1) / (1)

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

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