Home
Class 12
MATHS
Consider a triangle ABC such that cotA+...

Consider a triangle ABC such that `cotA+cotB+cotC=cot theta`. Now answer the following :
Q. `sin(A-theta)sin(B-theta) sin(C-theta)=`:

A

`sin^(3) theta`

B

`cos^(3) theta`

C

`tan^(3) theta`

D

`cot^(3) theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) TRUE AND FALSE|8 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) FILL IN THE BLANKS|1 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (5) ( MULTIPLE CHOICE QUESTIONS)|26 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

Prove that following 3sin theta-sin3 theta=(4sin theta)/(1+cot^(2)theta)

If A + B + C = pi then show that cot theta = cot A + cot B + cot C ⇔ sin(A - theta) * sin(B - theta)* sin(C - theta) = sin3theta .

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

if 5cot theta=4, then the value of ((5sin theta-3cos theta)/(sin theta+2cos theta))

If cot theta = (3)/(4) , then (sin theta - cos theta)/(sin theta + cos theta) =

If 3cot theta=4, find the value of (4cos theta-sin theta)/(2cos theta+sin theta)

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (6) ( MULTIPLE CHOICE QUESTIONS)
  1. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

    Text Solution

    |

  2. In a !ABC if sin A cos B = 1/4 and 3 tan A = B , then the triangle is

    Text Solution

    |

  3. If any /\ABC, tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  4. If in a triangle ABC, tan A + tan B + tanC has the value 6, then the v...

    Text Solution

    |

  5. In a triangle ABC if tanA: tan B : tan C = 3:4:5 then the value of sin...

    Text Solution

    |

  6. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  7. If A+B+C=pi and A, B, C are acute positive angles and cotA cotB cotC =...

    Text Solution

    |

  8. In a DeltaABC, "the value of"cot""(A)/(2)cot""(B)/(2)cos""(C)/(2)is

    Text Solution

    |

  9. " If alpha=(2 pi)/(7) ,then the value of tan alpha tan2 alpha+tan2 alp...

    Text Solution

    |

  10. If x+y+z=pi //2, then tan y tan z + tan z tan x + tan x tan y =

    Text Solution

    |

  11. If x+y+z =pi //2, then cot x +cot y +cot z=

    Text Solution

    |

  12. In a triangle ABC, sum cot A cot B=

    Text Solution

    |

  13. If A,B,C be the angles of a triangle, then sum (cot A + cot B)/( tan A...

    Text Solution

    |

  14. Consider a triangle ABC such that cotA+cotB+cotC=cot theta. Now answe...

    Text Solution

    |

  15. In a triangle ABC, if cot A + cot B + cotC =cot theta , then ( si...

    Text Solution

    |

  16. In a triangle ABC, if cot A + cot B + cotC =cot theta , then The ...

    Text Solution

    |

  17. If Sigmaxy =1 , then Sigma (x+y)/( 1-xy)=

    Text Solution

    |

  18. In a triangle ABC, if the angles are in the ratio 1:2:4, then ( sum se...

    Text Solution

    |

  19. tan A, tan B , tan C are the roots of the cubic equation x^(3) - 7x^(2...

    Text Solution

    |

  20. In a triangle if sin A sin B sin C =p and cos A cos B cos C =q then ta...

    Text Solution

    |