Home
Class 12
MATHS
Find the range of 7 cos x - 24 sin x +5...

Find the range of `7 cos x - 24 sin x +5`

Text Solution

Verified by Experts

The correct Answer is:
`[-20, 30]`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise VSAQ|51 Videos

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

The range of f(x)=5cos x-12 sin x+7 is

The minimum value of 7 cos x- 24 sin x +5 is

The range of cos^(2) x + sin^(4) x is

The maximum value of 7 cos x- 24 sin x is

Find the maximum and the minimum values of the following function over R. (i) sin^(2) X (ii) 7 cos x -24 sin x + 5 (iii) 3 sin x-4 cos x (iv) 3 cos (4x -5) + 4 (v ) (sin x+ cos x) (vi) 5 sin x + 12 cosx + 13 (vii) (3 sin^(2) x+ 4) (ix) 5 sin x + 12 cos x -13

Show that the range of the function f(x ) = (sin^(2) x + cos^(4) x)/( cos^(2) x+ sin^(4) x ) is a singleton set.

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. Find the range of 7 cos x - 24 sin x +5

    Text Solution

    |

  2. If A+B+C= 180^(@), then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin...

    Text Solution

    |

  3. If A, B, C are angles of a triangle, then S. T sin 2A -sin 2B + sin...

    Text Solution

    |

  4. If A, B, C are angles of a triangle , prove that cos 2A - cos 2B + ...

    Text Solution

    |

  5. If A , B , C are angles in a triangle , then prove that sin A + sin ...

    Text Solution

    |

  6. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

    Text Solution

    |

  7. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

    Text Solution

    |

  8. If A+B+ C =pi, then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2...

    Text Solution

    |

  9. If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ si...

    Text Solution

    |

  10. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

    Text Solution

    |

  11. If A, B, C are the angles in a triangle then prove that sin .(A)/(2)+...

    Text Solution

    |

  12. If A+B+C=(pi)/(2), then prove that cos 2A + cos 2B + cos 2C=1+4 sin A ...

    Text Solution

    |

  13. If A+B+C=(pi)/(2), then prove that sin ^(2) A+ sin ^(2) B + sin ^(2) C...

    Text Solution

    |

  14. If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B ...

    Text Solution

    |

  15. If A+B+C=(3pi)/(2), prove that cos ^(2)A+ cos ^(2) B- cos ^(2)C=-2 cos...

    Text Solution

    |

  16. If A+B+C=0, then prove that cos ^(2)A+ cos ^(2) B + cos ^(2) C =1+2 co...

    Text Solution

    |

  17. If A+B+C = 2S , then P.T cos(S-A)+cos(S-B)+cos(S-C)+cosS=4cos.(A)/(...

    Text Solution

    |

  18. If A+B+C+D=360^(@), the prove that cos 2A + cos 2B + cos 2C + cos 2D =...

    Text Solution

    |

  19. Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)t...

    Text Solution

    |

  20. Prove that (1+cot theta -"cosec" theta ) (1+ tan theta + sec theta )=2...

    Text Solution

    |

  21. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

    Text Solution

    |