Home
Class 12
MATHS
The angle between the curves y=sin x and...

The angle between the curves `y=sin x and y = cos x, 0 lt x lt (x)/(2)`, is

A

`tan^-1(2sqrt2)`

B

`tan^-1(3sqrt2)`

C

`tan^-1(3sqrt3)`

D

`tan^-1(5sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the acute angle between the curve y=sin x&y=cos x

The angle of intersection of the curves y=2sin^(2)x and y=cos2x at x=(pi)/(6) is

The area enclosed between the curves y=sin^(2)x y=cos^(2)x in 0ltxltpi and between their consecutive points of intersection is

The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

The angle of intersection between the curves y=[sin x|+cos x| and x^(2)+y^(2)=10 where [x] denotes the greatest integer <=x is

If A is the area lying between the curve y=sin x and x-axis between x=0 and x=pi//2 . Area of the region between the curve y=sin 2x and x -axis in the same interval is given by

If tetha is angle between the curves y=[|sin x|+|cos x]. denote ([.] denote GIF) and x^(2)+y^(2)=5 then coseche is

The area enclosed by the curves y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)]

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |

  2. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  3. The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2),...

    Text Solution

    |

  4. Let y=e^(x^2) and y=e^(x^2) sin x be two given curves . Then the angle...

    Text Solution

    |

  5. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  6. A body moves according to the formula v=l+t^2, where V is the velocity...

    Text Solution

    |

  7. A point moves in the straight line during the time t=0 to t=3 accordin...

    Text Solution

    |

  8. A particle moves in a straight line in such a way that its velocity at...

    Text Solution

    |

  9. Displacment x of a particle at time t is given by x=At^(2)+Bt+C, where...

    Text Solution

    |

  10. IF t=v^2/2, then (-(df)/(dt)) is equal to , (where f is acceleration...

    Text Solution

    |

  11. If the displacement velocity and acceleration of a particle at time t ...

    Text Solution

    |

  12. If the law of motion in a straight line is s=(1)/(2)vt, then accelerat...

    Text Solution

    |

  13. The law of motion of a body moving along a straight line is x=1/2vt, x...

    Text Solution

    |

  14. A particle moves so that s=6+48t-t^3. The direction of motion reverses...

    Text Solution

    |

  15. The speed v of a particle moving along a straight line is given by a+b...

    Text Solution

    |

  16. A man of height 1.8 metre is moving away from a lamp post at the rate ...

    Text Solution

    |

  17. A 10cm long rod AB moves with its ends on two mutually perpendicular s...

    Text Solution

    |

  18. A ladder 5 m in length is resting against vertical wall. The bottom of...

    Text Solution

    |

  19. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  20. The rate of change of surface area of a sphere of radius r when the ra...

    Text Solution

    |