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`

Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Product of vectors )|73 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 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-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  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 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

    Text Solution

    |

  14. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

    Text Solution

    |

  15. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

    Text Solution

    |

  16. If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi ...

    Text Solution

    |

  17. If cos A = 7/25 and (3pi)/2 lt A lt 2pi, then find the value of cot A/...

    Text Solution

    |

  18. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

    Text Solution

    |

  19. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

    Text Solution

    |

  20. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

    Text Solution

    |