Home
Class 11
MATHS
If t a nalpha=x/(x+1)\ a n dtanbeta=1/(2...

If `t a nalpha=x/(x+1)\ a n dtanbeta=1/(2x+1),\ t h e n\ alpha+beta` is equal to `pi/2` b. `pi/3` c. `pi/6` d. `pi/4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

If t a nalpha=x/(x+1) and t a nbeta=1/(2x+1) , then alpha+beta is equal to (a) pi//2 (b) pi//3 (c) pi//6 (d) pi//4

If t a nalpha=5/2 , tanbeta=-7/9 where alpha in [pi/2,pi] , then alpha+beta lies in the interval. [(3pi)/2,(7pi)/3] (b) [(13pi)/6,(5pi)/2] [(13pi)/6,(7pi)/3] (d) [pi/6,pi/3]

int_1^(sqrt(3))1/(1+x^2)dx is equal to a. pi/(12) b. pi/4 c. pi/6 d. pi/3

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)) , then alpha-beta= (a) pi/6 (b) pi/3 (c) pi/2 (d) -pi/3

if abs({:(sinalpha, cosbeta), (cosalpha, sinbeta):})=1/2 , where alpha, beta are acute angles, then find the value of alpha+beta . a) pi/3 b) (2pi)/3 c) pi/2 d) pi/4

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If alphaa n dbeta are acute angles such that t a nalpha=m/(m+1)a n dt a nbeta=1/(2m+1) , prove that alpha+beta=pi/4 .

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z) (a) 2npi (b) 2npi+pi/2 (c) 2npi-pi/2 (d) npi

If tantheta=1/2a n dt a nvarphi=1/3, then the value of theta+varphi is pi/6 (b) pi (c) 0 (d) pi/4

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  2. If A+B=C , then write the value of t a n A\ t a n B\ t a n Cdot

    Text Solution

    |

  3. If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "...

    Text Solution

    |

  4. The value of sin^2 75^0-sin^2 15^0 is a. 1//2 b. sqrt(3)//2 c. 1 d. 0

    Text Solution

    |

  5. If A+B+C=180^0,\ then s e c A(cos B cos C-sin B sin C) is equal to:

    Text Solution

    |

  6. tan20^@+tan40^@+sqrt3 tan20^@ tan40^@= (a).sqrt3/4 (b).sqrt3/2 (c).s...

    Text Solution

    |

  7. If tanA=a/(a+1) and tanB=1/(2a+1) then the value of A+B is: (a).0...

    Text Solution

    |

  8. If 3sintheta+4costheta =5 then find the value of: 4sintheta-3costheta

    Text Solution

    |

  9. The value of: tan3A-tan2A-tanA =

    Text Solution

    |

  10. If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a...

    Text Solution

    |

  11. If cosP=1/7a n d\ cos Q=(13)/(14)w h e r e\ P\ a n d\ Q both are acute...

    Text Solution

    |

  12. If cot(alpha+beta)=0\ t h e n\ "sin"(alpha+2beta) is equal to a. sin...

    Text Solution

    |

  13. (cos 10^0+sin 10^0)/(cos 10^0-sin 10^0) is equal to tan55^0 b. cos ...

    Text Solution

    |

  14. The value of cos^2(pi/6+theta)-sin^2\ \ (pi/6-theta) is a,1/2cos2theta...

    Text Solution

    |

  15. If t a ntheta1t a ntheta2=k , then ("cos"(theta1-theta2))/("cos"(theta...

    Text Solution

    |

  16. If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to 2 b. 1 c. 0 d. ...

    Text Solution

    |

  17. The maximum value of sin^2(120^0+theta)+sin^2(120^0-theta) is a.1//2 b...

    Text Solution

    |

  18. If cos(A-B)=3/5 and tanA tanB=2, then a.cos A cosB=1/5 b. co...

    Text Solution

    |

  19. If (tan69^0+t a n 66^0) /(1-tan69^@tan66^@)=2k ,\ t h e n\ k= -1 b. 1...

    Text Solution

    |

  20. If t a nalpha=x/(x+1)\ a n dtanbeta=1/(2x+1),\ t h e n\ alpha+beta is ...

    Text Solution

    |