Home
Class 10
MATHS
If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqr...

If `tan(A-B)=1/(sqrt(3))` and `tan(A+B)=sqrt(3)` , `0^@ < A+B lt= 90^@`, `A > B` find `A` and `B` .

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If tan(A+B)=sqrt(3) and tan(A-B)=(1)/(sqrt(3))0^(@)<=A+B<=90^(@)a<=B, find A and B .

If A and B are acute angles and (sin A)/(sin B)=sqrt(2) and (tan A)/(tan B)=sqrt(3), find A and B

If tan (A+B) = sqrt3 and tan(A-B)=1/sqrt3,0^(@)ltA+Ble90^(@),A gt B , find A and B .

If tan (A - B) = (1)/( sqrt3) and tan (A + B) = sqrt3. then the values of A and B are

If tan(A+B)=sqrt3 and tan(A-B)=(1)/(sqrt3),0^(@)lt A+Ble90^(@), A gt B , then find the value of A and B.

if tan(a+b)=sqrt(3) and tan A=(1)/(sqrt(3)) then find tan b=

If tan (A + B) = sqrt(3) and tan (A-B) =(1)/(sqrt(3)) A gt B , then the value of A is ..................

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. In a rectangle A B C D ,\ \ A B=20 c m ,\ \ /B A C=60o , calculate ...

    Text Solution

    |

  2. If sin(A+B)=1 and cos(A-B)=1,\ \ 0o<A+Blt=90o , AgeqB find A and B .

    Text Solution

    |

  3. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

    Text Solution

    |

  4. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^@ < A+B < 90^@ and A>B, then f...

    Text Solution

    |

  5. In a /\A B C right angled at B , /A=/C . Find the values of (i) si...

    Text Solution

    |

  6. If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A...

    Text Solution

    |

  7. In /\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

    Text Solution

    |

  8. Evaluate the following: (i) (cos80o)/(sin10o)+cos59o\ cos e c\ 31o ...

    Text Solution

    |

  9. Evaluate the following: (i) sec50osin40o+cos40o\ cos e c\ 50o (ii)...

    Text Solution

    |

  10. Prove that: (i) sin35osin55o-cos35ocos55o=0 (ii) (cos70o)/(sin20o)...

    Text Solution

    |

  11. Express each of the following in terms of trigonometric ratios of a...

    Text Solution

    |

  12. Express each of the following in terms of trigonometric ratios of a...

    Text Solution

    |

  13. Evaluate the following: (i) ((sin35o)/(cos55o))^2+((cos55o)/(sin35o...

    Text Solution

    |

  14. Evaluate: ((sin47o)/(cos43o))^2+((cos43o)/(sin47o))^2-4cos^2 45o

    Text Solution

    |

  15. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |

  16. Dind theta; if sin(theta + 36^@) = cos theta; where theta + 36 is an ...

    Text Solution

    |

  17. If tan2theta=cot(theta+6o) , where 2theta and theta+6o are acute an...

    Text Solution

    |

  18. If t a n A"\ "="\ "cot B , prove that A+B=90o

    Text Solution

    |

  19. If sec5A=cos e c\ (A+36^@) , where 5A is an acute angle, find the va...

    Text Solution

    |

  20. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |