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The numbr of principal solution of tan ...

The numbr of principal solution of ` tan 2 theta =1` is

A

one

B

two

C

three

D

four

Text Solution

Verified by Experts

The correct Answer is:
B

We have , `tan 2theta = 1`
Here, the value of `tan 2 theta` is positive. So, `theta` lies in 1st and 3rd quadrants.
`:.` Number of principal solutions of `tan 2 theta = 1`, is two,
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Knowledge Check

  • The number of principal solutions of tan2theta=1 is

    A
    one
    B
    two
    C
    three
    D
    four
  • The number of principal solution of tan2theta=1 is

    A
    one
    B
    two
    C
    three
    D
    four
  • The general solution of the equation 3 tan^(2) theta =1 will be-

    A
    `n pi pm (pi)/(6)`
    B
    `2npi pm (pi)/(3)`
    C
    `n pi + (-1)^(n) (pi)/(3)`
    D
    `(2n+1) (pi)/(10)`
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