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theta=tan^(-1)(2 tan^(2)theta)-tan^(-1)(...

`theta=tan^(-1)(2 tan^(2)theta)-tan^(-1)((1//3)tan theta)`, if `tan theta` is equal to

A

`-2`

B

`-1`

C

`2//3`

D

2

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • theta = tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=

    A
    `-2`
    B
    `-1`
    C
    `2//3`
    D
    2
  • What is (2 tan theta)/(1+tan^2theta) equals to ?

    A
    cos2`theta`
    B
    tan2`theta`
    C
    sin2`theta`
    D
    cosec2`theta`
  • If tan theta + (1)/(tan theta) = 2, then tan^2 theta + (1)/(tan^2 theta) is equal to

    A
    1
    B
    2
    C
    4
    D
    None of these
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