Home
Class 12
MATHS
The minimum value of sin theta . cos the...

The minimum value of `sin theta . cos theta` is

A

1

B

0

C

`-(1)/(2)`

D

`(1)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If sqrt(3) tan theta =1 and theta is acute, find the value of sin 3 theta + cos 2 theta .

If sqrt(3) "tan" theta = 1 "and " theta is acute find the value of sin 3theta "cos" 2theta .

If sqrt3 tan theta = 1 and theta is acute, find the value of sin 3 theta + cos 2 theta

If sin theta-cos theta=(1)/(2) ,then find the value of sintheta+costheta

If sin theta - (4)/(5) and Cos theta = (3)/(5) find the value of Sin^(2) theta + cos^(2) theta

If sin theta = 12/13 (0^(@) lt theta lt 90^(@)) , find the value of (sin^(2) theta - cos^(2)theta)/(2 sin theta cos theta) xx (1)/(tan^(2)theta) .

If 4 tan theta = 3, Evaluate [ (4 sin theta - cos theta +1)/(4 sin theta+ cos theta -1)]

If sin theta =cos theta ,then the value of 2tan theta+cos^(2)theta is:

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. The minimum value of 3 tan ^(2) theta+12 cot ^(2) theta is

    Text Solution

    |

  2. Maximum value of sin ^(8) x+cos ^(16) x is

    Text Solution

    |

  3. The minimum value of sin theta . cos theta is

    Text Solution

    |

  4. If cos x+cos y+cos alpha=0 and sin x+sin y+sin alpha=0, then cot ((x+y...

    Text Solution

    |

  5. If alpha+beta+gamma=2 pi, then

    Text Solution

    |

  6. If tan theta+sec theta=sqrt(3), 0 lt theta lt pi, then theta is equal ...

    Text Solution

    |

  7. If tan 25^(circ)=x, then (tan 155^(circ)-tan 115^(circ))/(1+tan 155^(c...

    Text Solution

    |

  8. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |

  9. If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2), thenalpha(0 lt alpha lt pi...

    Text Solution

    |

  10. The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^...

    Text Solution

    |

  11. If tan A+tan B+tan C=tan A . tan B . tan C then

    Text Solution

    |

  12. In a right angled triangle, the hypotenuse four times as long as the p...

    Text Solution

    |

  13. If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

    Text Solution

    |

  14. If sin x+sin ^(2) x=1 then the value of cos ^(2) x+cos ^(4) x is

    Text Solution

    |

  15. In a Delta ABC angle A is greater than B. If the measures of angles A ...

    Text Solution

    |

  16. cos ^(2) (3 pi)/(5)+cos ^(2) (4 pi)/(5)=

    Text Solution

    |

  17. cot theta=sin 2 theta,(theta ne n pi), if theta

    Text Solution

    |

  18. If (pi)/(2) lt theta lt (3 pi)/(2) then sqrt((1-sin theta)/(1+sin thet...

    Text Solution

    |

  19. If alpha in[-pi, pi] such that sqrt((1-sin alpha)/(1+sin alpha))=sec a...

    Text Solution

    |

  20. If -(pi)/(4)lt A lt (pi)/(4), then (sqrt(1+sin 2 A)+sqrt(1-sin 2 A))/(...

    Text Solution

    |