Home
Class 12
MATHS
Given that A ,\ B are positive acute ...

Given that `A ,\ B` are positive acute angles and `sqrt(3)\ s in2A=s in2B\ &\ sqrt(3)sin^2A+sin^2B=(sqrt(3)-1)/2` , then `A\ or\ B` may take the value(s) `15^0` (b) `30^0` (c) `45^0` (d) `75^0`

Text Solution

Verified by Experts

The correct Answer is:
`A=15^(@),B=30^(@)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 2|16 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

Similar Questions

Explore conceptually related problems

Given that A ,\ B are positive acute angles and sqrt(3)\ sin2A=sin2B\ &\ sqrt(3)sin^2A+sin^2B=(sqrt(3)-1)/2 , then A\ or\ B may take the value(s) 15^0 (b) 30^0 (c) 45^0 (d) 75^0

Solve the equation , sqrt(3) sin 2A = sin 2B and sqrt(3)sin^(2)A + sin^(2)B=(1)/(2)(sqrt(3)-1) .

If cos (A+B) =0 and sin (A-B) = (sqrt(3))/(2) then calculate the value of A.

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 sqrt(2) cos A=cosB+cos^(3)B, and sqrt(2)sinA=sinB-sin^(3)B then sin(A-B)=

Find acute angles A and B ,if sin(A+2B)=(sqrt(3))/(2) and cos(A+4B)=0,A>B

Sin (A + B) = 1/(sqrt2) Cos(A - B) = (sqrt3)/2

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

MOTION-TRIGONOMETRIC EQUATION-EXERCISE 3
  1. Solve : cottheta= tan8theta

    Text Solution

    |

  2. The angles between 0^0 and 90^0 which Satisfy the equation sec^2theta ...

    Text Solution

    |

  3. sin5theta+sin3theta+sin3theta=0

    Text Solution

    |

  4. Samllest positive angle satisfying the equation cos^(2)x+cos^(2) 2x+co...

    Text Solution

    |

  5. sin^2 n theta- sin^2 (n-1)theta= sin^2 theta where n is constant and n...

    Text Solution

    |

  6. Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

    Text Solution

    |

  7. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  8. Solve for x the equatiion sqrt(13-18tanx)=6 tan x-3 where -2pi lt x lt...

    Text Solution

    |

  9. Find all the solution of 4c a s^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  10. Solve the equation for 0lethetale2pi,(sin2theta+sqrt3cos2theta)^2-5=co...

    Text Solution

    |

  11. Find the general solution of the equation,2 tanx.cot(x/2)+cotx.tan(x/2...

    Text Solution

    |

  12. Find the principal solution of the trigonometric equation sqrt(cot3x +...

    Text Solution

    |

  13. Solve the equation : 2sinx =3x^2 +2x+3

    Text Solution

    |

  14. Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

    Text Solution

    |

  15. Find the general solution of the equation,tan^2(x+y)+cot^2(x+y)=1-2x-x...

    Text Solution

    |

  16. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  17. Determine the smallest positive value of x which satisfy the equation ...

    Text Solution

    |

  18. Given that A ,\ B are positive acute angles and sqrt(3)\ s in2A=s i...

    Text Solution

    |

  19. The set of values of alpha for which the equation "sin"^(4) x + "cos...

    Text Solution

    |

  20. Match the following for number of solution in [0,2pi]

    Text Solution

    |