Home
Class 12
MATHS
If sin =(1)/(sqrt10), sin beta =(1)/(sqr...

If `sin =(1)/(sqrt10), sin beta =(1)/(sqrt5) and alpha , beta ` are acute, show that ` alpha + beta = pi//4`

Text Solution

Verified by Experts

The correct Answer is:
` alpha + brta =(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise VSAQ|51 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

sin alpha + sin beta= 1/4 and cos alpha + cos beta = 1/3 The vlaue of tan (alpha + beta) is

If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acute angles, then prove that (a) sin ^(2)((alpha-beta)/(2))=(1)/(65) and (b) cos ^(2)((alpha+beta)/(2))=(16)/(65)

sin alpha + sin beta = 1/4 and cos alpha + cos beta = 1/3 The value of sin (alpha + beta) is

sin alpha + sin beta = 1/4 and cos alpha + cos beta = 1/3 The value of cos ( alpha + beta) is

2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alpha + 2 beta )=

If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( alpha + beta ) =

If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( alpha + beta ) =

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. If sin A=(12)/(13), cos B= (3)/(5) and neither A nor B is in the first...

    Text Solution

    |

  2. If 0 lt A, B lt 90^(@), cos A= (5)/(13) and sin B =(4)/(5) then find s...

    Text Solution

    |

  3. If sin =(1)/(sqrt10), sin beta =(1)/(sqrt5) and alpha , beta are acu...

    Text Solution

    |

  4. If cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi , find the value...

    Text Solution

    |

  5. If cos theta = t(0lt t lt 1) and theta does not lies in the first qua...

    Text Solution

    |

  6. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

    Text Solution

    |

  7. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

    Text Solution

    |

  8. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

    Text Solution

    |

  9. If cos 0 =(-3)/(5) and pi lt 0 lt (3pi)/(2) , find the value of tan th...

    Text Solution

    |

  10. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

    Text Solution

    |

  11. If theta is not an integral multiple of (pi)/(2), prove that tan thet...

    Text Solution

    |

  12. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

    Text Solution

    |

  13. If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =...

    Text Solution

    |

  14. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

    Text Solution

    |

  15. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

    Text Solution

    |

  16. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

    Text Solution

    |

  17. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

    Text Solution

    |

  18. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  19. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

    Text Solution

    |

  20. For any alpha in R, prove that cos ^(2) (alpha -(pi)/(4))+ cos ^(2) (a...

    Text Solution

    |