Home
Class 11
MATHS
If cos(A-B)=3/5 and tan A tan B=2, then ...

If `cos(A-B)=3/5 and tan A tan B=2,` then (a) `cos Acos B=1/5` (b) `sin A sin B=-2/5` (c) `cos AcosB=-1/5` (d) `sin A sinB=-1/5`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Prove that (sin A-sin B)/(cos A+ cos B) = "tan" (A-B)/2

If sin A +sin B =2, then the value of cos (A+B) is-

If A+C=2b, then the value of (cos C - cos A)/(sin A-sin C) is-

If tanA.tanB=1/2,t h e n(5-3cos2A)(5-3cos2B)= (a)2 (b) 8 (c) 12 (d) 16

If cos A = tan B , cos B= tan C, cos C= tanA , show that sin A= sin B= sin C= 2 sin 18^(@)

Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(sin (A-B)+ cos A-cos B)

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

If tan (A+B) = 3 tan A , "show that" sin (2A +2B) + sin 2A = 2 sin 2 B

The value of [cos (A-B) cos (A+B) -sin (A-B) sin (A+B)] is-

It A + B = 90^@ , then (tan A tan B + tan A cot B)/(sin A sec B) - (sin^2 B)/(cos^2 A) is equal to____

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of distinct roots of abs((sinx, cosx, cosx),(cosx, sinx, co...

    Text Solution

    |

  2. D , E ,a n dF are the middle points of the sides of the triangle A B C...

    Text Solution

    |

  3. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

    Text Solution

    |

  4. The number of ordered pairs (α,β), where α,β∈(−π,π) satisfying cos (α−...

    Text Solution

    |

  5. The base B C of A B C is fixed and the vertex A moves, satisfying the...

    Text Solution

    |

  6. For 0 < varphigeqpi/2,ifx=sum(n=0)^oocos^(2n)varphi,y=sum(n=0)^oosin^...

    Text Solution

    |

  7. In a right angled triangle, acute angle A and B satisfy tanA+tanB+tan^...

    Text Solution

    |

  8. Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

    Text Solution

    |

  9. if 0ltalphaltbetaltgammaltpi/ 2,then prove that tanalpha lt (sinalpha+...

    Text Solution

    |

  10. Given b=2,c=sqrt(3),/A=30^0 , then inradius of A B C is (sqrt(3)-1)/2...

    Text Solution

    |

  11. If A,B,C are angles of a triangle, then 2sin(A/2)cosec (B/2)sin(C/2)-s...

    Text Solution

    |

  12. Solve cos^(50)x-sin^(50)x=1

    Text Solution

    |

  13. sqrt((1-sintheta)/(1+sintheta))=sectheta-tantheta

    Text Solution

    |

  14. If two sides of a triangle are roots of the equation x^2-7x+8=0 and th...

    Text Solution

    |

  15. Prove that (1+sec2theta)(1+sec2^2theta)(1+sec2^3theta)…..(1+sec2^nthet...

    Text Solution

    |

  16. If 3sinx+4cosa x=7 has at least one solution, then find the possible v...

    Text Solution

    |

  17. Prove that (cos(90^0+theta)sec(-theta)"tan"(180^0-theta))/(sec(360^0-t...

    Text Solution

    |

  18. A sector O A B O of central angle theta is constructed in a circle wit...

    Text Solution

    |

  19. Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)...

    Text Solution

    |

  20. Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the inte...

    Text Solution

    |