Home
Class 9
MATHS
Find acute angles A and B, if sin(A+B)=c...

Find acute angles A and B, if `sin(A+B)=cos(A-B)=sqrt(3)/2`.

Text Solution

Verified by Experts

The correct Answer is:
`A=45^(@)" and "B=15^(@)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(A)|68 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(B)|34 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

  • TRIGONOMETRY

    ICSE|Exercise TOPIC -4 ( COMPLEMENTARY ANGLES ) (4 MARKS QUESTIONS )|4 Videos

Similar Questions

Explore conceptually related problems

Find acute angles Aa n dB , if sin(A+2B)=(sqrt(3))/2a n dcos(A+4B)=0,A > Bdot

Find acute angles A and B when 2 sin (A+ B) = sqrt3 and 2 cos (A-B) = sqrt3

sin(A+B)=1/sqrt(2) cos(A-B)=sqrt3|2

If A and B are acute angles, find (A+B) given sin A = (1)/(sqrt5) , sin B = (1)/(sqrt10)

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) (a) 15^0 (b) 30^0 (c) 45^0 (d) 75^0

If A and B are acute angles and sinA/sin B= sqrt2 and tanA/tanB = sqrt3 , find A and B.

If tan(A+B)=sqrt(3) and sqrt(3)tan(A-B)=1 , find the angles A and B,where A and B are Acute Angles.

If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sinA = sinB- sin^(3)B , then the value of 1620 sin^(2) (A-B) is ……………..

If the sides of a right-angled triangle are in A.P., then the sines of the acute angles are 3/5,4/5 b. 1/(sqrt(3)),sqrt(2/3) c. 1/2,(sqrt(3))/2 d. none of these

In an acute angled DeltaABC , if tan (A+B-C) = 1 and sec (B+C-A)=2 , then find the value of cos (4B-3A) .

ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(C)
  1. Find acute angles A and B, if sin(A+B)=cos(A-B)=sqrt(3)/2.

    Text Solution

    |

  2. Solve the following equations for A, if : 2sinA=1

    Text Solution

    |

  3. Solve the following equations for A, if : 2cos2A=1

    Text Solution

    |

  4. Solve the following equations for A, if : sin3A=sqrt(3)/2

    Text Solution

    |

  5. Solve the following equations for A, if : sec2A=2

    Text Solution

    |

  6. Solve the following equations for A, if : sqrt(3)tanA=1

    Text Solution

    |

  7. Solve the following equations for A, if : tan3A=1

    Text Solution

    |

  8. Solve the following equations for A, if : 2sin3A=1

    Text Solution

    |

  9. Solve the following equations for A, if : sqrt(3)cot2A=1

    Text Solution

    |

  10. Calculate the value of A, if : (sinA-1)(2cosA-1)=0

    Text Solution

    |

  11. Calculate the value of A, if : (tanA-1)(cosec3A-1)=0

    Text Solution

    |

  12. Calculate the value of A, if : (sec2A-1)(cosec3A-1)=0

    Text Solution

    |

  13. Calculate the value of A, if : cos3A.(2sin2A-1)=0

    Text Solution

    |

  14. Calculate the value of A, if : (cosec2A-2)(cot3A-1)=0

    Text Solution

    |

  15. If 2sinx^(@)-1=0 and x^(@) is an acute angle, find: (i) bsinx^(@)" ...

    Text Solution

    |

  16. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : x^(@)

    Text Solution

    |

  17. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : sin^(2)x^(@)+c...

    Text Solution

    |

  18. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : 1/(cos^(2)x^(@...

    Text Solution

    |

  19. If 4sin^(2)theta-1=0 and angle theta is less than 90^(@), find the val...

    Text Solution

    |

  20. If sin3A=1 and 0 le A le 90^(@), find : sin A

    Text Solution

    |

  21. If sin3A=1 and 0 le A le 90^(@), find : cos 2A

    Text Solution

    |