Home
Class 11
PHYSICS
If y= sin x and x changes from pi/2 to p...

If y= sin x and x changes from `pi/2` to `pi`, the approximate change in y is _________

Text Solution

Verified by Experts

The correct Answer is:
0.0157
`y=sinx`, So, y=/_\y=sin (x+/_\x)
/_\y=sin(x+/_\x)-sinx
sin(pi/3+pi/100)-sin pi/3
=0.0157
Promotional Banner

Topper's Solved these Questions

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Objective 2|5 Videos

  • NEWTON'S LAWS OF MOTION

    HC VERMA|Exercise Exercises|42 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

Similar Questions

Explore conceptually related problems

If y=x^(4)-10 and if x changes from 2 to 1.99, the approximate change in y is

Solve cos 2x=|sin x|, x in (-pi/2, pi) .

Solve cos 2x=|sin x|, x in (-pi/2, pi) .

If x, y in [0, 2pi] and sin x + sin y=2 , then the value of x+y is

The number of ordered pair (x, y) satisfying the equation sin^(2) (x+y)+cos^(2) (x-y)=1 which lie on the circle x^(2)+y^(2)=pi^(2) 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.

If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral multiple of pi x cannot be an even multiple of pi z is an integral multiple of pi y is an integral multiple of pi/2

If x+y=2pi//3 and sin x//sin y=2 , then the

Find the area bounded by the curve y = sin x between x = 0 and x = 2pi .

Draw the graph of [y] = sin x, x in [0,2pi] where [*] denotes the greatest integer function

HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

    Text Solution

    |

  2. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

    Text Solution

    |

  3. A particle moves on a given straight line with a constant speed v. At ...

    Text Solution

    |

  4. The force on a charged particle due to electric and magnetic fields is...

    Text Solution

    |

  5. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

    Text Solution

    |

  6. If y= sin x and x changes from pi/2 to pi, the approximate change in y...

    Text Solution

    |

  7. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

    Text Solution

    |

  8. The electric current in a discharging R-C circuit is given by i=i0e^(-...

    Text Solution

    |

  9. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the ordi...

    Text Solution

    |

  10. Find the area enclosed the curve y=sin x and the X-axis between x=0 an...

    Text Solution

    |

  11. Find the area bounded by the curve x=7 -6y-y^2.

    Text Solution

    |

  12. A rod of length L is placed along the X-axis between x=0 and x=L. The ...

    Text Solution

    |

  13. The momentum p of a particle changes with the t according to the relat...

    Text Solution

    |

  14. The changes in a function y and the independent variable x are related...

    Text Solution

    |

  15. Write the number of significant digits in a 1001, b. 100.1, c.100.10 d...

    Text Solution

    |

  16. A metre scale is graduated at every millimetre. How many significant d...

    Text Solution

    |

  17. Round the following numbers to 2 significant digits. A. 3472, b. 84.16...

    Text Solution

    |

  18. The length and the radius of a cylinder measured with a slide cllipers...

    Text Solution

    |

  19. The thicknes of a glass plate is measured to be 2.17 and 2.17 mm and ...

    Text Solution

    |

  20. The length of the string of a simple pendulum is measured with a metre...

    Text Solution

    |