Home
Class 11
MATHS
In sinA= 1/sqrt5, cosB= 3/sqrt10, A, B b...

In `sinA= 1/sqrt5, cosB= 3/sqrt10`, A, B being positive acute angles, then what is (A + B) equal to ?

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If cos A=1/7 and cos B=13/14 (A, B being positive acute), prove that A -B = 60^@ .

If a,b,c are positive real number, then 5sqrt(3125a^10 b^5 c^10) is equal to

If sin A- sqrt6 cos A= sqrt7 cosA , then: cosA+ sqrt6 sinA is equal to :

If sin(B +C-A)= cos(C+A-B) =tan (A+B-C)=1 , find A, B, C which are positive acute angles.

Find the acute angles between the st. lines : sqrt3 x+y =1 and x+sqrt3 y=1 .

What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

If cos A=5/13 and sin B= 4/5 , find sin (A + B), where A, B, (A + B) are positive acute angles.

For which acute angle theta cosec^2 theta= 3 sqrt3 cot theta-5 ?

In a DeltaABC , if b =(sqrt3-1) a and angle C=30^(@), then the value of (A-B) is equal to (All symbols used have usual meaning in the triangel.)

Find the acute angles between the st. lines : y-sqrt3 x-5=0 and 3y-x+6=0 .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. One radian is approximately equal to which one of the following :

    Text Solution

    |

  2. If cot (x+y)= 1/sqrt3, cot (x-y)= sqrt3, then what are the smallest po...

    Text Solution

    |

  3. In sinA= 1/sqrt5, cosB= 3/sqrt10, A, B being positive acute angles, th...

    Text Solution

    |

  4. x = sin theta cos theta, and y = sin theta +cos theta are satisfied by...

    Text Solution

    |

  5. A man observes the elevation of a balloon to be 30^@. He then walks 1 ...

    Text Solution

    |

  6. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  7. In a triangle ABC, 2ca sin frac(A-B+C)(2)=

    Text Solution

    |

  8. The period of sin^2 theta is :

    Text Solution

    |

  9. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

    Text Solution

    |

  10. If alpha is a root of 25 cos^2 theta+ 5 cos theta- 12 = 0,pi/2 < alpha...

    Text Solution

    |

  11. If sin (alpha+beta)=1, sin (alpha-beta)=1/2, then tan (alpha+ 2beta). ...

    Text Solution

    |

  12. In a triangle ABC, tan frac (A)(2)=5/6, tan frac (C)(2)=2/5, then :

    Text Solution

    |

  13. The equation a sin x + b cos x = c, where |c| > sqrt (a^2 +b^2) has :

    Text Solution

    |

  14. In a triangle ABC, a = 4, b=3, angle A = 60^@, then c is the root of t...

    Text Solution

    |

  15. If in a triangle, a cos ^(2)""C/2+c cos ^(2)""A/2=(3b)/(2), then its s...

    Text Solution

    |

  16. The angles of a triangle are in the ratio 4: 1: 1, then the ratio of t...

    Text Solution

    |

  17. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  18. If alpha, beta be such that pi < alpha- beta < 3 pi. If sin alpha +sin...

    Text Solution

    |

  19. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

    Text Solution

    |

  20. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

    Text Solution

    |