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The solution of the equation (tan^(2)x...

The solution of the equation
`(tan^(2)x-1)^(-1)=1+2cos 2x` is

A

`x=npi-(pi)/(2)`

B

`x=npi pm (pi)/(4)`

C

`x=npipm(pi)/(3)`

D

`x=npi`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The general solution of the equation tan^(2)x=1 is

    A
    `n pi+(pi)/(4)`
    B
    `n pi-(pi)/(4)`
    C
    `n pi (pi)/(4)`
    D
    `2n pi pm (pi)/(4)`

  • The general solution of the equation tan ^(2) x=1 is

    A
    `n pi +(pi)/(4)`
    B
    `n pi -(pi)/(4)`
    C
    ` n pi +- (pi)/(4)`
    D
    `2 n pi +- (pi)/(4)`

  • Number of solution(s) of the equation 2tan^(-1)(2x-1)=cos^(-1)(x) is :

    A
    1
    B
    2
    C
    3
    D
    infinitely many

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