Home
Class 11
MATHS
If tanA.tanB=1/2,t h e n(5-3cos2A)(5-3co...

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

Text Solution

AI Generated Solution

To solve the problem, we start with the given equation: **Given:** \[ \tan A \tan B = \frac{1}{2} \] We need to find the value of: ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Solved Examples And Exercises|482 Videos

Similar Questions

Explore conceptually related problems

If 3tanA tanB=1 , then prove that 2cos(A+B)=cos(A-B)

If tanA=(1)/(2),tanB=(1)/(3) , then cos2A=?

If cos(A-B)=3//5andtanA.tanB=2, evalute : cosA.cosB.

If cos(A-B) = 3/5 and tanA.tanB=2, then

If cos(A-B)=3/5and tan A tanB=2, then

If tanA=1/7 and tanB=1/3 , prove that: cos2A= sin4B

If 2tanA = 3tanB = 1, then what is tan(A-B) equal to?

If cos(A-B)=(3)/(5) andtan Atan B=2, then cos A cos B=(1)/(5)(b)sin A sin B=-(2)/(5)cos A cos B=-(1)/(5)(d)sin A sin B=-(1)/(5)

If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to (a) 1-4cos Acos BcosC (b) 4sinAsinBsinC (c) 1+2cosAcosBcosC (d) 1-4sinAsinBsinC

The period of cos5 theta is (a) pi^(2) (b) 2 pi (c) 2 pi/5 (d) pi/3

CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. The value of cot((7pi)/16)+2cot((3pi)/8)+cot((15pi)/16) is (a)4 (b...

    Text Solution

    |

  2. If tan^2theta=2tan^2phi+1,t h e ncos2theta+sin^2phi equals (a)-1 (...

    Text Solution

    |

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

    Text Solution

    |

  4. If cos(alpha-beta)=3sin(alpha+beta),t h e n1/(1-3sin2alpha)+1/(1-3sin2...

    Text Solution

    |

  5. The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to 4/3 (b)...

    Text Solution

    |

  6. If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the v...

    Text Solution

    |

  7. In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c...

    Text Solution

    |

  8. If sinA=3/5, where 0^0ltAlt90^0 , then find the values of sin2A , cos2...

    Text Solution

    |

  9. Prove that (cosA-cosB)^2+(sin A-sin B)^2=4sin^2((A-B)/2)

    Text Solution

    |

  10. Let f(x)=2 cosec 2x + sec x+cosec x, then the minimum value of f(x) fo...

    Text Solution

    |

  11. If tanalpha=1/7,sinbeta=1/(sqrt(10)), prove thatalpha+2beta=pi/4 , whe...

    Text Solution

    |

  12. Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

    Text Solution

    |

  13. Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

    Text Solution

    |

  14. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

    Text Solution

    |

  15. Find the maximum and minimum values of cos^2theta-6sinthetacostheta+3s...

    Text Solution

    |

  16. If p(x)=sinx(sin^3x+3)+cosx(cos^3x+4)+(1/2)sin^2 2x+5, then find the ...

    Text Solution

    |

  17. The value of cos e cpi/(18)-4sin(7pi)/(18) is

    Text Solution

    |

  18. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to (a) 1-4cos Ac...

    Text Solution

    |

  19. Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

    Text Solution

    |

  20. If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), ...

    Text Solution

    |