Home
Class 11
MATHS
If a leq 3 cos (theta+pi/3)+5cos theta...

If `a leq 3 cos (theta+pi/3)+5cos theta+3 leq b`, find `a and b`, where a is the minimum value & b is the If a maximum value.

Text Solution

Verified by Experts

a) `y_("max")=11, y_("min")=1`, b) `y_("max")=13/3, y_("min")=-1`, c) `49`, d) `a=-4`and `b=10`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If a<=3cos(theta+(pi)/(3))+5cos theta+3<=b, find a and b, where a is the minimum value & b is the If a maximum value.

The minimum value of a sin theta+b cos theta is:

Find the maximum and minimum values of 7 cos theta+24 sin theta:

The Maximum value of a sin theta+b cos theta is:

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

Find the maximum and minimum values of 7cos theta+24sin theta

Find the maximum and minimum value of 5cos theta+3sin(theta+(pi)/(6)) for all real values of theta . Find the minimum value of costheta+cos2theta for all real values of theta . Find the maximum and minimum value of cos^(2)theta-6sin thetacos theta+3sin^(2)theta+2 .

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

    Text Solution

    |

  2. cos^6(pi/16)+cos^6(3pi/16)+cos^6(5pi/16)+cos^6(7pi/16)

    Text Solution

    |

  3. tan1 0^(@)-tan5 0^(@)+tan7 0^(@)

    Text Solution

    |

  4. Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .

    Text Solution

    |

  5. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

    Text Solution

    |

  6. Let k=1^@ then prove that sum(n=0)^(88)1/(cosnkcos(n+1)k)=cosk/sin^2k

    Text Solution

    |

  7. If x and y are real number such that x^2 +2xy-y^2=6, find the minimum...

    Text Solution

    |

  8. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  9. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  10. Find values of theta satisfying sintheta+sin5theta=sin3theta such that...

    Text Solution

    |

  11. Solve the equality 2sin11 x+cos3x+sqrt(3)sin3x=0.

    Text Solution

    |

  12. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  13. Find the general solution of the equation, 2+tanx.cotx/2.tanx/2=0

    Text Solution

    |

  14. Determine the smallest positive value of x which satisfy the equation ...

    Text Solution

    |

  15. Find the general solution of the trignometric equation 3^(1/2+log(3)(c...

    Text Solution

    |

  16. Find the value of theta, which satisfy 3-2 cos theta-4 sintheta-cos 2...

    Text Solution

    |

  17. The range of 'y, such that the equation in x, y + cos x = sin x has a ...

    Text Solution

    |

  18. Find the general solution values of theta for which the quadratic (sin...

    Text Solution

    |

  19. Prove that the equations sin x*sin 2x*sin 3x = 1 have no solution.

    Text Solution

    |

  20. If alpha and beta are the roots of the equation, acostheta+bsintheta=c...

    Text Solution

    |