Home
Class 14
MATHS
If sinA = 2/sqrt(5) and cosB = 1/sqrt(10...

If `sinA = 2/sqrt(5)` and `cosB = 1/sqrt(10)`, where A and B are acute angles, then what is the value of `A+B`

A

`135^@`

B

`90^@`

C

`75^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

  • STATISTICS

    PUNEET DOGRA|Exercise PRE YEAR QUESTIONS |163 Videos

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

Similar Questions

Explore conceptually related problems

If sin A=(2)/(sqrt(5)) and cos B=(1)/(sqrt(10)), where A and B are acute angles,then what is the value of A+B

If sin A=(1)/(sqrt(10)) and sin B=(1)/(sqrt(5)), where A and B are positive acute angles,then A+B is equal to

If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)) , where A and B are positive acute angles, then A+B=?

If sin A = 1/ sqrt(5) , cos B = 3/ sqrt(10) , A, B being positive acute angles, then what is (A + B) equal to ?

If A and B are acute angles and sinA=cosB then A+B=

If sin (A - B) = 1/2 and cos (A + B) = 1/2 where A > B > 0 and A + B is an acute angle, then the value B is

SinA +cosB=1 , A = 30^(@) and B is an acute angle ,then find the value of B .

If sinA=3/5 and cosB =-12/15 , where A and B both lie in second quadrant, then find the value of sin(A+B).

Let "sin"(A+B)=sqrt(3)/(2)and"cos"B=sqrt(3)/(2) , where A, B are acute angles. What is "tan"(2A-B) equal to ?

PUNEET DOGRA-TRIGONOMETRY-PREV YEAR QUESTIONS
  1. Which one of the following is positive in the third quadrant?

    Text Solution

    |

  2. If cosec theta-cot theta=(1)/(sqrt3),where theta ne 0 then what is the...

    Text Solution

    |

  3. If sinA = 2/sqrt(5) and cosB = 1/sqrt(10), where A and B are acute ang...

    Text Solution

    |

  4. What is the value of Sin420^@.cos390^@ + cos(-300^@). sin(-330^@)?

    Text Solution

    |

  5. If x=ycos((2pi)/(3))=zcos((4pi)/(3)),then what is xy + yz + zx equal t...

    Text Solution

    |

  6. Value of tan9^@ - tan27^@ - tan63^@ + tan81^@ is ?

    Text Solution

    |

  7. If tantheta=sqrt(m), where m is non-square natural number, then sec 2t...

    Text Solution

    |

  8. If sin 3 A = 1 , then how many distinct values can sin A assume ?

    Text Solution

    |

  9. If sin A+sin B + sin C =3, then the value of cos A + cos B + cos C is

    Text Solution

    |

  10. If sintheta=cos^(2)theta, then what is cos^(2)theta(1+cos^(2)theta) ...

    Text Solution

    |

  11. If tan A - tan B = x and cot B - cot A =y , then what is cot ( A -B) ...

    Text Solution

    |

  12. What is the maximum value of 3cosx+4sinx+5?

    Text Solution

    |

  13. If (1+tantheta)(1+tanphi)=2, then what is (theta+phi) equal to ?

    Text Solution

    |

  14. If tan A=1//2andtanB=1//3, then what is the value of 4A +4B ?

    Text Solution

    |

  15. What is (sinx)/(1+cosx)+(1+cosx)/(sinx) equal to ?

    Text Solution

    |

  16. What is the value of tan 15^(@).tan195^(@)?

    Text Solution

    |

  17. Angle a is divided into two parts A and B such that A - B = x and tan ...

    Text Solution

    |

  18. If x=sintheta+costhetaandy=sintheta.costheta, then what is the value ...

    Text Solution

    |

  19. What is the value of sin 292(1)/(2)""^@?

    Text Solution

    |

  20. What is the value of (sintheta+costheta-tantheta)/(sectheta+"cosec"-co...

    Text Solution

    |