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If cosalpha + cosbeta =3/2 and sinalpha ...

If `cosalpha + cosbeta =3/2` and `sinalpha + sinbeta = 1/2` and `theta` is the arithmetic mean of `alpha` and `beta`, then `sin2theta +cos2 theta` is equal to

Answer

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If cos alpha+cos beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta, then sin2 theta+cos2 theta is equal to:

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Knowledge Check

  • If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta is the arithmetic mean of alpha and beta then sin 2 theta + cos 2 theta

    A
    `3/5`
    B
    `4/5`
    C
    `7/5`
    D
    `8/5`

  • If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the arithmetic mean between alpha and beta then sin 2 theta + cos 2 theta is equal to

    A
    `(a+b)^(2)//(a^(2)+b^(2))`
    B
    `(a-b)^(2)//(a^(2)+b^(2))`
    C
    `(a^(2)-b^(2))//(a^(2)+b^(2))`
    D
    none of these

  • If cosalpha+cosbeta=(3)/(2)and"sin"alpha+sinbeta=(1)/(2)andtheta is the arithmetic mean of alphaandbeta , then sin2theta+cos2theta is equal to

    A
    `(3)/(5)`
    B
    `(7)/(5)`
    C
    `(4)/(5)`
    D
    `(8)/(5)`

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    If cosalpha+cosbeta=a ,sinalpha+sinbeta=b and alpha-beta=2theta, then (cos3theta)/(costheta)=

    If cosalpha+cosbeta=1/3 and sinalpha+sinbeta=1/4 prove that cos(alpha-beta)/2=+-5/24

    If cos alpha + cosbeta=a, sinalpha + sinbeta=b and theta is the arithmetic mean between alpha and beta , then (sin2theta + cos 2theta) is equal to :

    If cos alpha+co beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta , then sin 2 theta is equal to :

    If cos alpha+cos beta=a, sin alpha+sin beta=b and theta is the arithmetic mean between alpha and beta then sin 2 theta+cos 2 theta is equal to

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