Home
Class 12
MATHS
The minimum value of (1)/(3sintheta-4cos...

The minimum value of `(1)/(3sintheta-4costheta+7),` is

A

`1/12`

B

`5/12`

C

`7/12`

D

`1/6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Maximum value of (3sintheta+4costheta) is:

Find the minimum value of (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)

If sintheta+costheta=sqrt(2) , then find the value of sintheta-costheta .

If tantheta=(4)/(3) , then find the value of (3sintheta-2costheta)/(3sintheta+5costheta)

If, 5cot theta =3 ,Find the value of (6sintheta-3costheta)/(7sintheta+3costheta)

The value of (sintheta+costheta-1)/(sintheta-costheta+1)xxsqrt((1+sintheta)/(1-sintheta)) is:

If 5tantheta-4=0 , then value of (5sintheta-4costheta)/(5sintheta+4costheta) is

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

    Text Solution

    |

  2. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha) is equal...

    Text Solution

    |

  3. The minimum value of (1)/(3sintheta-4costheta+7), is

    Text Solution

    |

  4. The maximum value of cos^(2)A+cos^(2)B-cos^(2)C, is

    Text Solution

    |

  5. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

    Text Solution

    |

  6. cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

    Text Solution

    |

  7. If tanx=b/athen sqrt((a+b)/(a-b"))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  8. In tantheta+sec theta=sqrt3,0ltthetaltpi, then theta is equal to

    Text Solution

    |

  9. If sqrt3sin theta+costhetagt0, then theta lies in the interval

    Text Solution

    |

  10. Let 0lt x lepi//4, (sec 2x-tan2x) equals

    Text Solution

    |

  11. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

    Text Solution

    |

  12. If 3 tan (theta-15^(@))=tan(theta+15^(@)), 0lt thetalt pi,then theta=

    Text Solution

    |

  13. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  14. If a=tan27theta-tantheta and b=(sin theta)/(cos3theta)+(sin3theta)/(co...

    Text Solution

    |

  15. Find the no. of integral values of k for which the equation 7cosx+5sin...

    Text Solution

    |

  16. If A = sin^2 theta+ cos^4 theta, then for all real values of theta

    Text Solution

    |

  17. The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

    Text Solution

    |

  18. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

    Text Solution

    |

  19. If A+B+C=pi then sin2A+sin2B+sin2C=

    Text Solution

    |

  20. The expression tan^2alpha+cot^2alpha is

    Text Solution

    |