Home
Class 12
MATHS
If cosA=3/4, then 32 sin (A/2) sin ((5...

If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- (A) √11 (B) -√11 (C) 11 (D) -11

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 ENGLISH|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If cosA=(3)/(4) and k sin ((A)/(2))sin((5A)/(2))=(11)/(8) . Find k.

sin((-11pi)/3)

Show that (sin 5 A + 2 sin 8A + sin 11 A)/( sin 8A + 2 sin 11 A + sin 14 A) = (sin 8A)/(sin 11 A).

A d d4/(-11)\ a n d7/(11)

Show that ( sin 5A + 2 sin 8A + sin 11A ) /( sin 8 A +2sin 11A + sin 14A ) = (sin 8A)/( sin 11A)

Value of sin (-(11pi )/( 3)) is

If x real and y= (x^2-x+3)/(x+2) , then (A) yge1 (B) yge11 (C) yle-11 (D) -11ltylt1

Image of (1, 2, 3) w.r.t a plane is (-7/3,-4/3,-1/3) then which of the following points lie on the plane (A) (-1,1,-1) (B) (-1,-1,1) (C) (-1,-1,1) (D) (1,1,-1)

(5 1/4-3 1/3) = (a)(12/23) (b) 2 (c) (1 11/12) (d) (11/12)

Prove that tan ((3pi)/11) + 4 sin ((2pi)/11)=sqrt( 11) .

OBJECTIVE RD SHARMA ENGLISH-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/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) 1 (b) ...

    Text Solution

    |

  3. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

    Text Solution

    |

  4. Find the minimum value of 9tan^2theta+4cot^2theta

    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(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

    Text Solution

    |

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

    Text Solution

    |

  9. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

    Text Solution

    |

  10. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    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. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  14. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  18. If sinα.sinβ−cosα.cosβ+1=0 then show that 1+cotα.tanβ=0

    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

    |