Home
Class 12
MATHS
Find the maximum value of the 24sinx-7co...

Find the maximum value of the `24sinx-7cosx`

Text Solution

Verified by Experts

Maximum value of 24 sinx-7cosx is `sqrt(24^2+(-7)^2)=sqrt625=25`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of the 2+3sinx+4cosx

Find the maximum value of the 5 sinx+12cosx

Find the maximum value of the 8cosx-15sinx-2

Find the maximum value of y=(1+cosx) sinx,x epsilon[0,(3pi)/(4)]

Determine the maximum value of |[cosx sinx], [-sinx cosx-1]| .

Determine the maximum value of |(cos x, sinx),(-sinx, cosx-1)| .

What is the maximum value of sinx cosx for x in(pi/6,pi/2) ?

What is the maximum value of the function f(x)=sinx(1 + cos x) ?

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove that cot(A/2)=sinA/(1-cosA)

    Text Solution

    |

  2. Find the maximum value of the 5 sinx+12cosx

    Text Solution

    |

  3. Find the maximum value of the 24sinx-7cosx

    Text Solution

    |

  4. Find the maximum value of the 2+3sinx+4cosx

    Text Solution

    |

  5. Find the maximum value of the 8cosx-15sinx-2

    Text Solution

    |

  6. If tanA=13/27, tanB=7/20 and A,B are acute, show that A+B =45^@

    Text Solution

    |

  7. If tantheta=b/a, find the value of acos2theta+bsin2theta

    Text Solution

    |

  8. If secA-tanA=1/2 and {0ltAlt90^@} then show that secA=5/4

    Text Solution

    |

  9. If sintheta+sinphi=a and costheta+cosphi=b then show that tan((theta+p...

    Text Solution

    |

  10. If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+...

    Text Solution

    |

  11. If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+...

    Text Solution

    |

  12. If A+C=B show that tanA.tanB.tanC=tanB-tanA-tanC

    Text Solution

    |

  13. If tan A=1/5, tanB=2/3show that cos2A=sin2B

    Text Solution

    |

  14. If cos2A=tan^2B then show that cos 2B=tan^2A

    Text Solution

    |

  15. In triangle ABC, prove that tan(B+C)/2=cot(A/2)

    Text Solution

    |

  16. In triangle ABC , prove that cos(A+B)+sinC=sin(A+B)-cosC

    Text Solution

    |

  17. If A+B+C=pi and cosA=cosB.cosC show that tanB+tanC=tanA

    Text Solution

    |

  18. If A+B+C=pi and cosA=cosB.cosC show that 2cotB.cotC=1

    Text Solution

    |

  19. Prove the following : cos(A-D)sin(B-C)+cos(B-D)sin(C-A)+cos(C-D)sin(A-...

    Text Solution

    |

  20. Prove the following : sin2A+sin2B+sin2(A-B) = 4sinA.cosB.cos(A-B)

    Text Solution

    |