Home
Class 12
MATHS
If cos A=3/4 then the value of sin(A/2)...

If `cos A=3/4` then the value of `sin(A/2) sin((5A)/2)` is

A

`1/32`

B

`11/8`

C

`11/32`

D

`11/16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is_____.

If cos A = 3//4 . then what is the value of sin ((A)/(2))sin((3A)/(2)) ?

If cos A=(3)/(4), then the value of 16cos^(2)((A)/(2))-32sin((A)/(2))sin(5(A)/(2)) is

If 3 sin A+5 cos A =5, then the value of (3 cos A-5 sin A )^(2) is

If x = 4 cos A + 5 sin A and y = 4 sin A - 5 cos A, then the value of x^(2) + y^(2) is:

If 3 tan A = 4, then the value of (3 sin A + 2 cos A)/(3 sin A - 2 cos A) is:

If cos A+cos^(2)A=1, find the value of sin^(2)A+sin^(4)A

If x =4 cos A + 5 sin A and y = 4 sin A - 5cos A , then the value of (x^(2) + y^2) is :

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  2. If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3)...

    Text Solution

    |

  3. If cos A=3/4 then the value of sin(A/2) sin((5A)/2) is

    Text Solution

    |

  4. The minimum value of 9tan^2theta+4cot^2theta is

    Text Solution

    |

  5. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

    Text Solution

    |

  6. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

    Text Solution

    |

  7. If a (n+1)=sqrt((1)/(2)(1+a(n)))then cos((sqrt(1-a(0)^(2)))/(a(1)a(2)a...

    Text Solution

    |

  8. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  9. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

    Text Solution

    |

  10. If cosx-sinalphacotbetasinx=cosalpha,then tan""(x)/(2) is equal to

    Text Solution

    |

  11. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  12. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |

  13. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

    Text Solution

    |

  14. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  15. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

    Text Solution

    |

  16. If sin x+sin^2=1, then cos^8 x+2 cos^6 x+cos^4 x=

    Text Solution

    |

  17. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  18. If sin alpha=sinbeta and cos alpha=cosbeta, then

    Text Solution

    |

  19. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

    Text Solution

    |

  20. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |