Home
Class 12
MATHS
If A + B =pi/3 and cosA + cosB = 1, then...

If `A + B =pi/3` and `cosA + cosB = 1`, then :

A

`cos(A - B) = 1/3`

B

`|cosA - cosB| = sqrt(2/3)`

C

`cos (A - B) = -1/3`

D

`|cosA - cosB| = 1/(2sqrt(3)).`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If Agt=0,B=0,A + B = pi/3 and y = tanA.tanB , then :

If in a triangle ABC, 2cosA=sinBcosecC , then :

If A,B and C are angles of a triangle, then the determinant : |(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)| is equal to :

If sin A=(3)/(5), tan B=(1)/(2) and (pi)/(2) lt A lt pi and pi lt B lt 3(pi)/(2), then 8 tan A+sqrt(5) sec B=

If cosy=xcos(a+y)" with "cosa!= +-1 , then dy/dx is equal to

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If (sec A + tan A) (sec B + tan B) (sec C + tan C) = (sec A-tan A) (se...

    Text Solution

    |

  2. If a=1/(5cosx+12sinx) then for all real x.

    Text Solution

    |

  3. If A + B =pi/3 and cosA + cosB = 1, then :

    Text Solution

    |

  4. If Agt=0,B=0,A + B = pi/3 and y = tanA.tanB, then :

    Text Solution

    |

  5. 3^(sin2x + 2cos^(2)x) + 3^(1 - sin2x + 2sin^(2)x) = 28 is satisfied by...

    Text Solution

    |

  6. Let f(x) = e^(cos^(-1)sin(x + pi//3)), Then :

    Text Solution

    |

  7. If asin^(2)x + bcos^(2)x = cbsin^(2)y + acos^(2)y = d and atanx = btan...

    Text Solution

    |

  8. If 33theta = pi, then cos theta cos2theta cos4theta cos8theta cos16the...

    Text Solution

    |

  9. The minimum value of the expression sin theta(1) + sin theta(2) + sin ...

    Text Solution

    |

  10. 2sec^(2)theta - sec^(4)theta - 2cosec^(2)theta + cosec^(4)theta = 15/4...

    Text Solution

    |

  11. If tan25^(@) = x, then(tan155^(@) - tan115^(@))/(1 + tan155^(@) tan115...

    Text Solution

    |

  12. tan^(6)""pi/9 - 33tan^(4)""pi/9 + 27tan^(2)""pi/9 equals :

    Text Solution

    |

  13. If x = cos theta cos phi + sin theta sin phi cos psi,y = cos theta sin...

    Text Solution

    |

  14. If x = acos^(3)theta sin^(2)theta,y = asin^(3)theta cos^(2)theta and (...

    Text Solution

    |

  15. If sin theta, cos theta, tan theta are in G.P.,then cos^(9)theta + cos...

    Text Solution

    |

  16. If D = |(1" "cosalpha" "1),(-sinalpha" "1" "-cosalpha),(-1" "sinalpha"...

    Text Solution

    |

  17. The number of all possible triples (a(1),a(2),a(3)) such that a(1) + a...

    Text Solution

    |

  18. If acosA - bsinA = c, then asinA + bcosA equals :

    Text Solution

    |

  19. The least difference between the roots of the equation : 4cosx(2 - 3si...

    Text Solution

    |

  20. The most general solution of : tan theta = -1,cos theta = 1/sqrt(2) is...

    Text Solution

    |