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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If cos(A-B)=3/5 and tanA tanB=2, then a.cos A cosB=1/5 b. cosA cos B= -1/5 c. sin A sin B= -1/5 d. sin A sin B= -1/5

If tan A =1 and tan b = sqrt3 , evaluate : cos A cos B - sin A sin B.

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

If tan A=1//2, tan B=1//3 , then prove that cos 2A=sin2B .

If cos A+cosB=1/2 and sin A+ sinB=1/4 , prove that: tan((A+B)/2)=1/2

If tan A =1 and tan b = sqrt3 , evaluate : sin A cos B+ cos A sin B.

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

(cos 2B - cos 2 A)/( sin 2 A + sin 2 B) = tan (A -B).

Prove that (sin 7A - sin 5A)/(cos 5 A + cos 7A ) = tan A.

If cos^2 A - sin^2 A = tan^2 B then prove that 2 cos^2 B -1 = tan^2 A

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of distinct real roots of |sinxcosxcosxcosxsinxcosxcosxcosx...

    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 , if -pi/2ltthetalt...

    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+sec4theta)(1+sec8theta)...(1+sec2^ntheta)=...

    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

    |