Home
Class 11
MATHS
Find the acute angle A and B such that ...

Find the acute angle A and B such that
`sec A * tan B -sec A -2 tan B+2=0.`

A

`(60^(@),45^(@))`

B

`(45^(@),30^(@))`

C

`(30^(@),45^(@))`

D

`(30^(@),60^(@))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Find the acute angles A and B such that cot (A+B) = 1/sqrt3 and sec (A-B) = 2/sqrt3.

In a right angled triangle,acute angle A and B satisfy tan A+tan B+tan^(2)A+tan^(2)B+tan^(3)A+tan^(3)B=70 Find the angle A and B in radians.

If A and B are acute angles such that A+B and A-B satisfy the equation tan^(2)theta-4tan theta+1=0 then

In an acute angled /_ABC, the least value of sec A+sec B+sec C is

If A and B are complementary angles, then the value of sin A cos B + cos A sin B - tanA tan B + sec^(2) A - cot^2 B is

If A+B+C=pi, then find value of tan B tan C+tan C tan A+tan A tan B-sec A sec B sec C

If A and B are acute angles such that tan A=(1)/(2),tan B=(1)/(3) and tan(A+B)=(tan A+tan B)/(1-tan A tan B), find A+B

In an acute angled /_ABC, the minimum value of tan A tan B tan C is

(sec A sec B+tan A tan B)^(2)-(sec A tan B+tan A sec B)^(2)=1

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If A and B are acute angles such that cot(A+B)=1 and cosec(A-B) =2,"...

    Text Solution

    |

  2. If A and B are acute angles such that 2 cos A*cot B-2cos A-cot B+1=0...

    Text Solution

    |

  3. Find the acute angle A and B such that sec A * tan B -sec A -2 tan B...

    Text Solution

    |

  4. If tan^(2) theta-4sqrt3 * tan theta+3=0,"then" : tan theta=

    Text Solution

    |

  5. prove that: sin^2 3 0^(@)+sin^2 4 5^(@)+sin^2 6 0^(@)=3/2

    Text Solution

    |

  6. prove that: 4 cot^2(45^ @) - sec^2(60^ @)+ sin^2(30^ @) = 1/8

    Text Solution

    |

  7. [(1-tan^(2)30^(@))div(1+tan^(2)30^(@))]-sin30^(@)=A)-1 B)0 C)1 D)2

    Text Solution

    |

  8. 2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=A)sqrt2+(3)/(2) B)sqrt3+(2)/(3...

    Text Solution

    |

  9. If cos theta=-3//5,"where" piltthetalt(3pi//2), "then" : (cssc theta+...

    Text Solution

    |

  10. If sin theta=3//5,"where" (pi//2)ltthetaltpi, "then" : (sectheta-tant...

    Text Solution

    |

  11. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

    Text Solution

    |

  12. If sin A=11//61, "where" 0ltAlt(pi//2), "then : (secA+tanA)/(cotA-csc...

    Text Solution

    |

  13. If tan theta=-4//5 and theta is not is the second quadrant, then : cs...

    Text Solution

    |

  14. If cos theta=-1//2 and pi lt theta lt (3pi//2), "then" : 4 tan^(2)the...

    Text Solution

    |

  15. If sec theta=sqrt2, ((3pi)/2) lt theta lt 2pi then find the value of (...

    Text Solution

    |

  16. If 3 tan alpha=4and 180^(@) lt alpha lt 270^(@), "then" : 2 cot alpha...

    Text Solution

    |

  17. If sin theta = 4//5, where pi//2 lt theta lt pi, evaluate : (sec th...

    Text Solution

    |

  18. If tan theta = - 3//5 and theta is not in the second quadrant, find t...

    Text Solution

    |

  19. If x=sin^(2)theta+3 cos theta-2=0, "then" : cos^(3)theta + sec^(3)thet...

    Text Solution

    |

  20. If x= sin^(2)theta* cos theta and y=sin theta cos^(2)theta,"then" :

    Text Solution

    |