Home
Class 11
MATHS
Find a and b such that a le3 cos theta +...

Find a and b such that `a le3 cos theta +5 sin (theta-pi/6)le b`
holds good for all values of `theta`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If A=sin^(8) theta + cos^(14) theta , then for all values of theta ,

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

Show that the points (x, y), where : x=5 cos theta, y=-3+5 sin theta lie on a circle for all values of theta .

Prove the following : cos 7 theta + cos 5 theta + cos 3 theta +cos theta =4 cos theta cos2 theta cos4 theta for all value of theta .

Find sin 2 theta when sin theta + cos theta= 1 .

If sin 3 theta = cos (theta-6^@) where 3 theta and theta-6^@ are acute angles, find the value of theta .

If sin 5 theta = cos 4 theta where 5 theta and 4 theta are acute angles, find the value of theta .

Let f(theta)= sin theta - cos^(2) theta-1 , where theta in R and m le f(theta) le M . Find all values satisfying the equation sqrt((1)/(|m|)+sqrt((1)/(|m|)+sqrt((1)/(|m|)+...............oo))) , is

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

Prove that all lines represented by the equation (2 cos theta + 3 sin theta ) x + (3 cos theta - 5 sin theta ) y = 5 cos theta - 2 sin theta pass through a fixed point for all theta What are the coordinates of this fixed point ?

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : cos^2 (pi/8+x/2)-sin^2 (pi/8-x/2)= 1/sqrt2 cos x.

    Text Solution

    |

  2. Prove that : (cos^2 33^@- cos^2 57^@)/(sin^2 frac (21^@) (2)- sin^2 fr...

    Text Solution

    |

  3. Find a and b such that a le3 cos theta +5 sin (theta-pi/6)le b holds ...

    Text Solution

    |

  4. If sin alpha=15/17 and cos beta=12/13, find the values of : sin (alpha...

    Text Solution

    |

  5. If sin alpha=15/17 and cos beta=12/13, find the values of : cos (alph...

    Text Solution

    |

  6. If sin alpha=15/17 and cos beta=12/13, find the values of : tan (alph...

    Text Solution

    |

  7. If cos (alpha+beta)=4/5, sin (alpha -beta)=5/13 and alpha, beta lie b...

    Text Solution

    |

  8. Find the value of tan (alpha+beta), given that : cot alpha=1/2, alpha...

    Text Solution

    |

  9. If theta+phi= alpha and tan theta=k tan phi, prove that : sin alpha=(...

    Text Solution

    |

  10. Prove the following: cos((3pi)/4+x)-cos((3pi)/4-x)=-sqrt2 sinx

    Text Solution

    |

  11. Prove that cos((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt(2)cosx

    Text Solution

    |

  12. Prove the following : (sin 5x + sin3x)/(cos 5x + cos 3x)= tan 4x.

    Text Solution

    |

  13. Prove the following : (sinx +siny)/(cos x+cos y)= tan frac (x+y)(2).

    Text Solution

    |

  14. Prove the following : (sinx +sin3x)/(cos x + cos 3x)= tan 2x.

    Text Solution

    |

  15. Prove the following: (sin x-sin y)/(cosx + cos y)=tanfrac(x-y)(2)

    Text Solution

    |

  16. Prove the following : (cos 7x + cos 5x)/(sin 7x-sin 5x) =cot x.

    Text Solution

    |

  17. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

    Text Solution

    |

  18. Prove that: (sin 3x + sin x) sin x + (cos 3x -cos x) cos x = 0

    Text Solution

    |

  19. Prove the following : 4 sin A sin (60^@ + A) sin (60^@ - A) = sin 3A...

    Text Solution

    |

  20. Prove the following : sin 10^@ + sin 20^@ + sin 40^@ + sin 50^@ = si...

    Text Solution

    |