Home
Class 12
MATHS
If a le cos theta + 3sqrt(2) sin [theta ...

If `a le cos theta + 3sqrt(2) sin [theta + (pi)/4] + 6 le b`, find largest value of a and smallest value of b.

Text Solution

Verified by Experts

The correct Answer is:
11,1
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Product of vectors )|73 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

The value of cos theta + 3sqrt(2) sin ( theta + pi//4) + 6 lies between

If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k , then the value of k is

The minimum value of 4 cos theta + 2sqrt(3) sin theta is

If 0 le theta le pi//2 then

If cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi , find the value of sin 2 theta

If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta le 2pi , then theta =

If sin theta + cos theta = (1)/(5) and 0 le theta le pi , then tan theta is

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

    Text Solution

    |

  2. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

    Text Solution

    |

  3. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

    Text Solution

    |

  4. If cos 0 =(-3)/(5) and pi lt 0 lt (3pi)/(2) , find the value of tan th...

    Text Solution

    |

  5. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

    Text Solution

    |

  6. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

    Text Solution

    |

  7. If tan (alpha - beta) = 7/24 and tan alpha = 4/3, where alpha , beta a...

    Text Solution

    |

  8. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

    Text Solution

    |

  9. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

    Text Solution

    |

  10. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

    Text Solution

    |

  11. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

    Text Solution

    |

  12. If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi ...

    Text Solution

    |

  13. If cos A = 7/25 and (3pi)/2 lt A lt 2pi, then find the value of cot A/...

    Text Solution

    |

  14. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

    Text Solution

    |

  15. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

    Text Solution

    |

  16. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

    Text Solution

    |

  17. Express (sin 4 theta)/(sin theta) in terms of cos^(3)theta, cos theta.

    Text Solution

    |

  18. For what values of A in the first quardrant, the expression (cot^(3)A-...

    Text Solution

    |

  19. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

    Text Solution

    |

  20. If a le cos theta + 3sqrt(2) sin [theta + (pi)/4] + 6 le b, find large...

    Text Solution

    |