Home
Class 11
MATHS
If 1/2sin^(-1)[(3sin2theta)/(5+4cos2thet...

If `1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x`, then x =

A

`tan 3 theta`

B

`3 tan theta`

C

`(1//3)tan theta`

D

`3 cot theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II LECTURE SHEET (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II LEVEL-III LEVEL -I (MAIN) SINGLE ANSWER ANSWER TYPE QUESTIONS)|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

(sin 2 theta)/( 1+ cos 2 theta ) =

2(1-2sin^(2) theta ) cos 4 theta =

If (3 sin h 2 theta)/(5 + 4 cos h 2 theta) = 1 then tan h^(2) theta + 6 tan h theta is equal to

If x = (sin^(3)theta)/(cos^(2) theta)and y = (cos^(3) theta)/(sin^(2)theta) , where sin theta + cos theta = (1)/(2) , " then " x + y =

The value of tan^(-1)((x cos theta)/(1-x sin theta))-cot^(-1)((cos theta)/(x-sin theta)) is

If sin theta_(1) sin theta_(2) - cos theta_(1)cos theta_(2)+1=0 , then the value of tan(theta_(1)//2)cot(theta_(1)//2) is equal to:

If sin theta_(1)sin theta_(2)-cos theta_(1)cos theta_(2)+1=0 , then the value of tan(theta_(1)//2)cot(theta_(1)//2) is equal to

If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta)) , then sin u=

If 1+sin^(2)theta = 3 sin theta cos theta , then theta =

AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. Range of tan^(-1)((2x)/(1+x^(2))) is

    Text Solution

    |

  2. If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha ...

    Text Solution

    |

  3. There exists a positive real number x satisfying cos(tan^(-1)x)=x. The...

    Text Solution

    |

  4. If "tan"^(-1)(sqrt(1+x^(2))-1)/x=4^(@) then

    Text Solution

    |

  5. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=(pi...

    Text Solution

    |

  6. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

    Text Solution

    |

  7. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

    Text Solution

    |

  8. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x, then x =

    Text Solution

    |

  9. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

    Text Solution

    |

  10. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

    Text Solution

    |

  11. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^(2))/(x^(4)+2x^(2)+3...

    Text Solution

    |

  12. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

    Text Solution

    |

  13. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

    Text Solution

    |

  14. If sin^(-1)a+sin^(-1)b+sin^(-c)=pi, then the value of asqrt((1-a^(2)))...

    Text Solution

    |

  15. If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, then x in

    Text Solution

    |

  16. f(x)=tan^(-1)x+tan^(-1)(1/x), g(x)=sin^(-1)x+cos^(-1)x are identical f...

    Text Solution

    |

  17. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  18. If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=

    Text Solution

    |

  19. The value of tan^(-1)((x cos theta)/(1-x sin theta))-cot^(-1)((cos the...

    Text Solution

    |

  20. If the equation x^(3)+bx^(2)+cx+1=0, (bltc) has only one real root alp...

    Text Solution

    |