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If costheta=(1)/(sqrt(2)),then find the ...

If `costheta=(1)/(sqrt(2))`,then find the value of `cos2theta`.

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Knowledge Check

  • If 2costheta=x+(1)/(x) , then find the value of 2cos^(2)theta .

    A
    a) `(1)/(2)(x^(2)+(1)/(x^(2)))+1`
    B
    b) `(x^(2)+(1)/(x^(2)))-1`
    C
    c) `(3)/(x^(3))`
    D
    d) 1

  • If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

    A
    `2 n pi +(pi)/(4)`
    B
    `2n pi pm (pi)/4`
    C
    `2npi -(pi)/4`
    D
    None of these

  • If costheta=(5)/(13) , then find the value of tan^(2)theta+sec^(2)theta . 0^(@)ltthetalt90^(@)&tantheta=sqrt(6+sqrt(6+sqrt(6+....oo))) , then find the value of sec^(2)theta .

    A
    (a) `(39)/(23)`
    B
    (b) `(39)/(25)`
    C
    (c) `(313)/(25)`
    D
    (d) `(329)/(21)`

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    Explore conceptually related problems

    sintheta=(1)/(sqrt(2)) ,then find the value of 3sin ^(2)theta-4sin^(3)theta*costheta .

    If cos theta=(sqrt(3))/2 then find the value of (1-sec theta)/(1+cosec theta)

    If (costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3)) , then find the value of theta .

    If sin theta + cos theta = sqrt2 , then find the value of theta .

    If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

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