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)/2)=1/sqrt3`

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:
B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section E (Assertion-Reason Types Questions)|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-B (Objective Type Questions One option is correct)|131 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If A + B =(pi)/(3) and cosA + cosB = 1then the value of cos ((A-B)/2) is_______

If A+B+C=pi, and cosA=cosB*cosC then tanB*tanC has the value equal to (i)1 (ii)1/2 (iii)2 (iv)3

If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

If sinA=sinB and cosA=cosB , then prove that sin. (A-B)/(2)=0 .

If cosA=4/3 and cosB=12/13 , then find the values of cos(A+B) and sin(A-B) , where (3pi)/(2) lt A, B lt 2pi .

If sinA+sinB=C,cosA+cosB=D , then the value of sin(A+B) =

If sinA+sinB=C,&cosA+cosB=D , then sin(A+B)=?

If sin(A-B) =1//2 and cos(A+B)=1//2 , then what is the value of sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA यदि sin(A-B) =1//2 तथा cos(A+B)=1//2 ,का तो मान sinA cosA + sin^2A sinB cosB +cos^3 A cosB tanA क्या है?

If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
  1. f(alpha.beta) = cos^2+ beta cos^2(alpha+beta)- 2 cosalpha cosbeta cos(...

    Text Solution

    |

  2. The value of cosA cos2A cos2^2A......cos(2^(n-1)A), where A in R may...

    Text Solution

    |

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

    Text Solution

    |

  4. cos^3x.sin2x=sum(m=1)^n(am)sin mx is an identity in x.

    Text Solution

    |

  5. If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(a...

    Text Solution

    |

  6. The angles A, B, C of a triangle ABC satisfy 4cosAcosB + sin2A + sin2B...

    Text Solution

    |

  7. Which of the following statement(s) is/are correct?

    Text Solution

    |

  8. If sintheta=K, -1<=K<=1 then number of values of theta for same value ...

    Text Solution

    |

  9. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

    Text Solution

    |

  10. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

    Text Solution

    |

  11. If cosalpha + cosbeta + cosgamma =0= sinalpha + sinbeta + singamma, th...

    Text Solution

    |

  12. If 4costheta-3sectheta=2tantheta, then theta is equal to

    Text Solution

    |

  13. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  14. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

    Text Solution

    |

  15. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  16. Solve the equation sinx + sqrt(3)cosx=sqrt(2)

    Text Solution

    |

  17. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

    Text Solution

    |

  18. The possible value of theta in [-pi, pi] satisfying the equation 2(co...

    Text Solution

    |

  19. The number of all possible triplets (p, q, r) such that p + qcos2theta...

    Text Solution

    |

  20. sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

    Text Solution

    |