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If m tan (theta -30^(@)) = n tan (theta ...

If `m tan (theta -30^(@)) = n tan (theta +120^(@)), ` then the value of ` cos 2 theta ` is -

A

`(m+n)/(2(m-n))`

B

`(m+n)/(m-n)`

C

`(m-n)/(m+n)`

D

`(2m-n)/(2(m+n))`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If tan theta + sec theta =e^(x), then the value of cos theta is -

    A
    `(e ^(x) -e^(-x))/(e ^(x) +e ^(-x))`
    B
    `(e^(x)-e^(-x))/(2)`
    C
    `(2)/(e^(x)( -e^(-x))`
    D
    `(2)/(e ^(x) +e^(-x))`

  • If mtan(theta-30^@)=ntan(theta+120^@) , then cos2theta is equal to

    A
    `(m-n)/(2(m+n))`
    B
    m+n
    C
    `(m+n)/(2(m-n))`
    D
    m-n

  • If tan theta = -1/(sqrt(5)) , then the value of cos theta will be -

    A
    -`(sqrt5)/(sqrt6)`
    B
    `1/(sqrt6)`
    C
    `(sqrt5)/(sqrt6)`
    D
    `1/2`

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