Home
Class 11
MATHS
If : x*cos A *cos B= sin (A-B), y*cos ...

If : `x*cos A *cos B= sin (A-B), ` `y*cos B *cos C= sin (B-C), ` `z*cos C *cos A= sin (C-A), ` then : x+y+z= (a)-1 (b)0 (c)sin(A+B+C) (d) cos(A-B-C)

A

-1

B

0

C

sin(A + B + C)

D

cos (A - B - C)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

(sin (BC)) / (cos B cos C) + (sin (CA)) / (cos C cos A) + (sin (AB)) / (cos A cos B) = 0

If : x=sin(B-C) * cos A, y=sin(C-A) * cos B, z=sin(A-B) * cos C, then : x+y+z= (a) sin(A-B-C) (b) cos(A-B-C) (c)0 (d)-1

(b-a cos c)sin A=a cos A sin c

det [[sin A, cos A, sin (A + theta) sin B, cos B, sin (B + theta) sin C, cos C, sin (C + theta)]] = =

(cos A) / (c sin B) + (cos B) / (a sin C) + (cos C) / (b sin A) =

a.cos A + b.cos B + c.cos C = 2a sin B sin C

a cos A + b cos B + c cos C = 2a sin B sin C

cos(A+B)+sin C=sin(A+B)-cos C

cos2a-cos2b + cos2c = 1-4sin a cos b sin c

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. Prove that 1+tanA Tan(A/2)=tanA cot(A/2)-1=secA.

    Text Solution

    |

  2. If : (tan 3 A+tan A)/(tan 3A - tanA)=(sin(mA)/(sin(nA))) then (m,n)= (...

    Text Solution

    |

  3. If : x*cos A *cos B= sin (A-B), y*cos B *cos C= sin (B-C), z*cos C...

    Text Solution

    |

  4. If : x=sin(B-C) * cos A, y=sin(C-A) * cos B, z=sin(A-B) * cos C, ...

    Text Solution

    |

  5. If :cos x pm sin x =sqrt(2)*cos(x pm alpha), "then" : alpha=

    Text Solution

    |

  6. If :cos x pm sin x =sqrt(2)*cos(x pm alpha), "then" : alpha= A) 45^(@)...

    Text Solution

    |

  7. tan 20^(@) + tan 25^(@) +tan 20^@ tan25^(@)=

    Text Solution

    |

  8. tan 40^(@) +2* tan 10^(@) = A)tan30^(@) B)tan50^(@) C)tan70^(@) D)tan9...

    Text Solution

    |

  9. If : sin(x+(pi)/(3)) = cos (x-(pi)/(6)),"then" : tan x = A)1//sqrt3B)...

    Text Solution

    |

  10. If : sin (theta - 30^(@))+cos (theta - 60^(@))=k * sin theta, "then" :...

    Text Solution

    |

  11. " cos x + cos " (120^(@) -x ) + " cos "(120^(@) +x)=0

    Text Solution

    |

  12. tan(45^(@)+A)tan(45^(@)-A)=1

    Text Solution

    |

  13. tan 75^(@)+ tan 15^(@)= A)1B)2C)3D)4

    Text Solution

    |

  14. 1+tan theta * tan 2 theta= A)2 csc thetaB)sec 2 theta C)2 sec thetaD) ...

    Text Solution

    |

  15. tan 2 theta * cot theta -1= A)2 csc thetaB)sec 2 theta C)2 sec theta D...

    Text Solution

    |

  16. If : A+B = 90^(@),and tanA=3/4 "then" : cot B =

    Text Solution

    |

  17. If : sin (theta + phi) = 2 sin (theta - phi), "then" : tan theta = A)t...

    Text Solution

    |

  18. If sin(x-60^@)=2.cos(x-30^@), then : tanx=.....

    Text Solution

    |

  19. If : a = tan x, b = tan y , c=sqrt(1+a^(2)),d= sqrt(1+b^(2)), "then" ...

    Text Solution

    |

  20. cos^2((pi)/(4)-theta)+cos^2((pi)/(4)+theta)=.....

    Text Solution

    |