Home
Class 12
MATHS
In a triangleABC if the sides are a =3, ...

In a `triangleABC` if the sides are a =3, b = 5 and c = 4then `sin(B/2) + cos(B/2)`is equal to

A

`(sqrt(3)-1)/(2)`

B

`underline(1)`

C

`sqrt(2)`

D

`(sqrt(3)+1)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If A + B+ C = 3 pi//2 , then the value of cos 2 A + cos 2 B + cos2 C is equal to

If the angles A, B, C of a triangle are in A . P and sides a, b, c are in G.P, then a^(2), b^(2), c^(2) are in

Let A ={1, 2}, B = {3, 4} and C = {4, 5}. Then (A-B) xx (B-C) is

If tan theta=(a)/(b), then b cos 2 theta+a sin 2 theta is equal to

If any triangle A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=

If any triangle A B C, the simplified form of (cos 2 A)/(a^(2))-(cos 2 B)/(b^(2)) is

If sin A+sin B=a and cos A+cos B=b then cos (A+B)=

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. IfA+B+C = 180^(@) then sumtan(A)/(2)tan(B)/(2)=

    Text Solution

    |

  2. If 0lexlepi and 81^(sin^(2x))+81^(cos^(2x))=30 then x=

    Text Solution

    |

  3. In a triangleABC if the sides are a =3, b = 5 and c = 4then sin(B/2) +...

    Text Solution

    |

  4. If 12 cot^(2)theta - 31 cosec theta+32 = 0 then the value of Sin theta...

    Text Solution

    |

  5. The value of cos(270^(@) + theta) cos (90^(@)-theta) - sin (270^(@) - ...

    Text Solution

    |

  6. If the angles of a triangle are in the ratio 3:4:5, then the sides are...

    Text Solution

    |

  7. If sec theta = m and tan theta = n, then (1)/(m)[(m+n)+(1)/((m+n))]=

    Text Solution

    |

  8. From an aeroplane flying, vertically above a horizontal road, the ange...

    Text Solution

    |

  9. sin^(2)17.5^(@) + sin^(2)72.5^(@) is equal to

    Text Solution

    |

  10. The value of (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ)) is

    Text Solution

    |

  11. The sides of a triangle are 3x+4y, 4x+3y and 5x+5y , where x,y gt 0, t...

    Text Solution

    |

  12. If tan theta = -4/3, then sin theta is :

    Text Solution

    |

  13. The number of values of x in the interval [0, 3pi] satisfying the equa...

    Text Solution

    |

  14. In a triangle ABC, if (cos A)/(a) = (cos B)/(b)= (cos C)/(c ) and a=2 ...

    Text Solution

    |

  15. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  16. The number of values of x in the interval [0,5pi] satisfying the equat...

    Text Solution

    |

  17. In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...

    Text Solution

    |

  18. The maximum value of : (cosalpha(1)).(cosalpha(2))....(cosalpha(n)) un...

    Text Solution

    |

  19. A man from the top of a 100 metres high lower sees a car towards the t...

    Text Solution

    |

  20. If 0ltthetalt2pi, then the intervals of values of theta for which 2sin...

    Text Solution

    |