Home
Class 11
MATHS
If in a Delta ABC, tanA+tanB+tanC=6 then...

If in a `Delta ABC, tanA+tanB+tanC=6` then `cotA cotB cot C=` `a.6, b. 1, c. 1/6, d.` none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

In a DeltaABC , if tanA/2=5/6 and tanB/2=20/37 then tanC/2=

In an acute-angled triangle ABC, tanA+tanB+tanC

If A, B, C are angles of Delta ABC and tan A tan C = 3, tan B tan C = 6 , then

If ^n C_3+^n C_4>^(n+1)C_3 , then a. n >6 b. n >7 c. n<6 d. none of these

If A+B+C=pi/2 , show that : cotA+cotB+cotC=cotA cotB cotC

If A+B+C=pi , prove that : (tanA+tanB+tanC) (cotA+cotB+cotC)=1+secA secB secC .

If A+B+C=pi , prove that: cotB cotC + cotC cotA + cotA cotB=1 .

In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of tanA ,tanB ,tanC are, respectively (a) 1,2,3 (b) 3,2//3,7//3 (c) 4,1//2 ,3//2 (d) none of these

In a triangle ABC, if cotA :cotB :cotC = 30: 19 : 6 then the sides a, b, c are

If in DeltaABC, tan A+tanB+tanC=6 and tanA tanB=2 , then sin^(2)A:sin^(2)B:sin^(2)C is

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: cos(pi/7)cos(2pi/7)cos(4pi/7)=-1/8,

    Text Solution

    |

  2. If sin x+cos x=a , find the value of sin^6x+cos^6xdot

    Text Solution

    |

  3. If sin x+cos x=a , find the maximum and minimum value of a

    Text Solution

    |

  4. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  5. Show that cos(pi/65)cos((2pi)/65)cos((4pi)/65)cos((8pi)/65)cos((16pi)/...

    Text Solution

    |

  6. For all real values of x ,cotx-2cot2x is equal to a.tan2x b. t a n x c...

    Text Solution

    |

  7. The value of 2tanpi/(10)+3secpi/(10)-\ 4cospi/(10) is 0 b. 1 c. sqrt(5...

    Text Solution

    |

  8. If in a Delta ABC, tanA+tanB+tanC=6 then cotA cotB cot C= a.6, b. 1, c...

    Text Solution

    |

  9. If sin alpha+sin beta=a\ a n d\ cosalpha-cosbeta=b , then tan(alpha-be...

    Text Solution

    |

  10. The value of t a nthetasin(pi/2+theta)cos(pi/2-theta) is -1 b. 1 c. ...

    Text Solution

    |

  11. Prove that: sin^2pi/(18)+sin^2pi/9+sin^2(7pi)/(18)+sin^2(4pi)/9=2

    Text Solution

    |

  12. If A=2sin^2theta-cos2theta, t h e n A lies in the interval (a)[-1,3] ...

    Text Solution

    |

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

    Text Solution

    |

  14. The value of (cos3theta)/(2cos2theta-1) is equal to (a) costheta (b) ...

    Text Solution

    |

  15. The value of (2(sin2theta+2cos^2theta-1))/(costheta-sintheta-cos3theta...

    Text Solution

    |

  16. 2(1-2sin^2 7theta)sin3theta is equal to a.\ sin 17theta-sin 11theta b....

    Text Solution

    |

  17. cos(36^@-A)cos(36^@+A)+cos(54^@+A)cos(54^@-A)=cos2A

    Text Solution

    |

  18. Prove that: t a nthetatan(60^0-theta)tan(60^0+theta)=tan3thetadot

    Text Solution

    |

  19. tantheta+tan(6 0^0+theta)+tan(12 0^0+theta)=3tan3theta

    Text Solution

    |

  20. sin(5theta)/sintheta is equal to a.16cos^4theta-12cos^2theta+1, b.16co...

    Text Solution

    |