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If cos (theta-phi)=(2)/(5) and tan theta...

If `cos (theta-phi)=(2)/(5)` and `tan theta tan phi=3, ` then `cos theta cos phi` is equal to _______

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Knowledge Check

  • If cos theta+cos phi=a and sin theta - sin phi=b , then: 2cos(theta + phi) =

    A
    `a^(2)-b^(2)-2`
    B
    `a^(2)-b^(2)+2`
    C
    `a^(2)+ b^(2)=2`
    D
    `a^(2) + b^(2)-2`

  • If (a-b)sin (theta+phi)=(a+b) sin(theta-phi) and a tan(theta//2)-b tan(phi//2)=c , then the value of sin phi is equal to

    A
    `2ab//(a^(2)-b^(2)-c^(2))`
    B
    `2bc//(a^(2)-b^(2)-c^(2))`
    C
    `2bc//(a^(2)-b^(2)+c^(2))`
    D
    `2ab//(a^(2)-b^(2)+c^(2))`

  • If 3 tan theta tan phi=1, then (cos (theta-phi))/(cos (theta+phi)) is

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

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    If tan theta=(5)/(6) and tan phi=(1)/(11) , then theta+phi =______

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