Home
Class 11
MATHS
theta=tan^-1(2tan^2theta)-tan^-1{(1/3)ta...

`theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}`, if

A

`tantheta=-2`

B

`tantheta=0`

C

`tantheta=1`

D

`tantheta=2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

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

theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta ) if -

If theta=pi/(4n) then the value of tanthetatan(2theta)tan(3theta)....tan((2n-1)theta) is

If theta=tan^(-1)(2 tan^(2) theta)-(1)/(2) sin^(-1)((3 sin 2 theta)/(5+4 cos 2theta)) , then find the general values of theta .

(1 + tan^(2) theta)/(1 - tan^(2) theta)=

A function f:(0,pi //2) to R is defined as : f(theta )=|(1,tan theta ,1),(-tan theta ,1,tan theta ),(-1,-tan theta ,1)| then the range of f is -

If g(theta)=(1-tantheta)/(1+tan theta) , find the value of g(pi/4-theta) .

If phi=cot^(-1)sqrt(cos2theta)-tan^(-1)sqrt(cos2theta) , then show that, sin phi=tan^(2)theta .

tan 3theta = tan 2theta + tantheta

tan3theta + tantheta = 2tan 2theta

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Number of values of theta which satisfy sin^2theta-2sin^2theta-1=0 is

    Text Solution

    |

  2. Which of the following is true?

    Text Solution

    |

  3. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

    Text Solution

    |

  4. sec(cosec^-1x) is equal to

    Text Solution

    |

  5. The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

    Text Solution

    |

  6. Let f(x)=e^(cos^-1sin(x+pi/3)), then

    Text Solution

    |

  7. The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

    Text Solution

    |

  8. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

    Text Solution

    |

  9. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

    Text Solution

    |

  10. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

    Text Solution

    |

  11. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

    Text Solution

    |

  12. sum(r=1)^ntan^-1((xr-x(r-1))/(1+x(r-1)xr))=sum(r=1)^n(tan^-1xr-tan^-1x...

    Text Solution

    |

  13. sum(r=1)^ntan^-1((xr-x(r-1))/(1+x(r-1)xr))=sum(r=1)^n(tan^-1xr-tan^-1x...

    Text Solution

    |

  14. Arrange the followig radicals in increasing order of -I effect. 1,Br,C...

    Text Solution

    |

  15. Match Column-I with Column-II

    Text Solution

    |

  16. The number of values of theta in the interval (-pi/2, pi/2) such that ...

    Text Solution

    |

  17. If a, b, c, d in (0, pi) and b+c ne pi/2 such that 2cosa+6cosb+7cosc+9...

    Text Solution

    |

  18. The value of 1/2{sec^2(tan^-1 2)+cosec^2(cot^-1 3)+tan^2(pi/3)} is equ...

    Text Solution

    |

  19. If x gt 0, then the value of sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(...

    Text Solution

    |

  20. If cos^-1(x/2)+sin^-1(x/4)=pi/6, then the value of x is

    Text Solution

    |