Home
Class 11
MATHS
Let alpha,betaa n dgamma be some angles ...

Let `alpha,betaa n dgamma` be some angles in the first quadrant satisfying `tan(alpha+beta)=(15)/8a n dcos e cgamma=(17)/8,` then which of the following hold(s) good? (a) `alpha+beta+gamma=pi` (b)`cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma` (c)`tanalpha+tanbeta+tangamma=tanalphatanbetatangamma` (d)`tanalphatanbeta+tanbetatangamma+tangammatanalpha=1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbeta+tangamma) (b) tanbeta+tangamma tanbeta+2tangamma (d) 2tanbeta+tangamma

Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/(15)) then cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma tanalphatanbeta+tanbetatangamma+tanalphatangamma=1 tanalpha+tanbeta+tangamma=tanalphatanbetatangamma cotalphacotbeta+cotbetacotgamma+cotalphacotgamma=1

If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a) tan3alpha=tan2beta (b) tan2alpha=tanbeta (c) tan2beta=tanalpha (d) none of these

If each of alpha, betaa n dgamma is a positive acute angle such that sin(alpha+beta-gamma) =1/2 , cos(beta+gamma-alpha)=1/2 and tan(gamma+alpha-beta)=1, find the values of alpha,betaa n dgammadot

Which of the following identities, wherever defined, hold(s) good? (a)cotalpha-tanalpha=2cot2alpha (b)tan(45^0+alpha)-tan(45^0-alpha)=2cos e c2alpha (c)tan(45^0+alpha)+tan(45^0-alpha)=2sec2alpha (d)tanalpha+cotalpha=2tan2alpha

If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2

Let alpha = 3 cos^(-1) (5/sqrt28) + 3 tan^(-1) ( sqrt3/2) " and " beta = 4 sin ^(-1) ((7sqrt2)/10) - 4 tan^(-1) (3/4) , then which of the following does not hold (s) good ?

Let alpha,beta,gamma > 0 and alpha+beta+gamma=pi/2. Statement-1: |tan alpha tan beta-(a!)/6|+|tan beta tan gamma-(b!)/2|+|tan gamma tanalpha-(c!)/3| le 0, where n! =1.2..........n, then tan alpha tanbeta,tanbeta tangamma, tan gamma tan alpha=1 Settlement 2 : tan alpha tanbeta+,tanbeta tangamma+, tan gamma tan alpha=1

If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4 is a. 18 b. 10 c. 15 d. 36

Let x_1,x_2,x_3,x_4 be four non zero numbers satisfying the equation tan^-1 (a/x)+tan^-1(b/x)+tan^-1(c/x)+tan^-1(d/x)=pi/2 then which ofthe following relation(s) hold good?

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), ...

    Text Solution

    |

  2. The maximum value of cos^2(45^0+x)+(sinx-cosx)^2 is

    Text Solution

    |

  3. Let alpha,betaa n dgamma be some angles in the first quadrant satisfyi...

    Text Solution

    |

  4. If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is eq...

    Text Solution

    |

  5. Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tantheta/2

    Text Solution

    |

  6. The greatest integer less than or equal to 1/(cos290^0)+1/(sqrt(3)sin2...

    Text Solution

    |

  7. If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a)(-sqrt(...

    Text Solution

    |

  8. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

    Text Solution

    |

  9. If sin(x+20^0)=2sinxcos40^0,where in (0,pi/2), then which of the foll...

    Text Solution

    |

  10. cosθ/ (1-tanθ) + sinθ/ (1−cotθ) is equals to ​

    Text Solution

    |

  11. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) then x...

    Text Solution

    |

  12. Prove that : (cosecθ−cotθ)^2 = (1+cosθ)/(1−cosθ) ​

    Text Solution

    |

  13. Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha)...

    Text Solution

    |

  14. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

    Text Solution

    |

  15. The value of expression (2(sin1^0+sin2^0+sin3^0+...+sin89^0))/(2(cos1...

    Text Solution

    |

  16. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((...

    Text Solution

    |

  17. on a cartesian plane, draw a line segment XY parallel to x-axis at a d...

    Text Solution

    |

  18. In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot H...

    Text Solution

    |

  19. If x1 and x2 are two distinct roots of the equation acosx+bsinx=c , ...

    Text Solution

    |

  20. (sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a)sec(alp...

    Text Solution

    |