Home
Class 12
MATHS
The greatest value of sin x cos x is...

The greatest value of `sin x cos x` is

A

1

B

2

C

`sqrt(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

The least value of 3 sin x-4 cos x+7 is

The greatest value of : f(x) =cos[x e^([x])+7x^(2)-3x], x in [-1, oo) is :

The maximum value of sin x. cos x is

The greatest value of f(x)=cos(x e^([x])+7x^(2)-3x), x in [-1,oo) is :

The value of int (sin x+ cos x)/(3+ sin 2x) dx is

If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the equation y^(2)-9y+8=0 , then the value of (cos x )/( cos x+ sin x ),0 lt x lt (pi)/(2) , is

If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the equation y^(2)-9y+8=0 , then the value of (cos x )/( cos x+ sin x ),0 lt x lt (pi)/(2) , is

The greatest and least value of (sin^(-1)x)^2 + (cos^(-1) x)^2 are respectively :

Find the value of sin ( 2 cos^(-1) x + sin^(-1) x) " when " x = 1/5

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If -(pi)/(4)lt A lt (pi)/(4), then (sqrt(1+sin 2 A)+sqrt(1-sin 2 A))/(...

    Text Solution

    |

  2. If tan theta = -4/3, then sin theta is :

    Text Solution

    |

  3. The greatest value of sin x cos x is

    Text Solution

    |

  4. The value of sin 20^(circ) sin 40^(circ) sin 60^(circ) sin 80^(circ) i...

    Text Solution

    |

  5. The value of cos (pi)/(5) . cos (2 pi)/(5). cos (4 pi)/(5) . cos (8 pi...

    Text Solution

    |

  6. If sin theta+cosec theta=2, then sin ^(2) theta+cosec^(2) theta=

    Text Solution

    |

  7. If f(x)=cos ^(2) x+sec ^(2) x, then

    Text Solution

    |

  8. If tan theta=(1)/(2) and tan varphi=(1)/(3) then the value of theta+va...

    Text Solution

    |

  9. Which of the following is not correct?

    Text Solution

    |

  10. The value of tan 1^(circ) . tan 2^(circ) . tan 3^(circ) …..tan 89^(cir...

    Text Solution

    |

  11. The value of (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ)) is

    Text Solution

    |

  12. If tan thata = 3 and theta lies in third quadrant, then the value of s...

    Text Solution

    |

  13. The value of tan 75^(circ)-cot 75^(circ) is equal to

    Text Solution

    |

  14. Sin (45^(@)+theta)-cos(45^(@)-theta) is equal to :

    Text Solution

    |

  15. cos 12^(circ)+cos 84^(circ)+cos 156^(circ)+cos 132^(circ)=

    Text Solution

    |

  16. If tan A=(1)/(2), tan B=(1)/(3) then tan (2 A+B) is equal to

    Text Solution

    |

  17. The value of sin (pi)/(10) sin (13 pi)/(10) is

    Text Solution

    |

  18. The value of sin 50^(circ)-sin 70^(circ)+sin 10^(circ) is equal to

    Text Solution

    |

  19. If sin theta+cos theta=1 then the value of sin 2 theta is equal to

    Text Solution

    |

  20. If alpha+dot(beta)=(pi)/(4), then the value of (1+tan alpha)(1+tan bet...

    Text Solution

    |