Home
Class 12
MATHS
Draw the graph of y=f(x)=sqrt(1-cosx)...

Draw the graph of `y=f(x)=sqrt(1-cosx)`

Text Solution

Verified by Experts

We have `y=f(x)=sqrt(1-cosx)`
`=sqrt(2sin^(2))(x)/(2)`
`=sqrt2|sin(x)/(2)|`
Now the period of `y=sin""(x)/(2)` is `4pi`, the graph of which is as shown in the following figure.

Therefore, the graph of `y=|sin""(x)/(2)|` is as follows.
The graph of `y=sqrt2|sin""(x)/(2)|` can be obtained by stretching the above graph `sqrt2` times vertically.
Promotional Banner

Topper's Solved these Questions

  • GRAPHICAL TRANSFORMATIONS

    CENGAGE|Exercise Exercise|22 Videos
  • GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|18 Videos
  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE|Exercise Exercise|13 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of f(x) = sqrt(sin x) .

Draw the graph of y=x^(2)+1

Draw the graph of y=sqrt(x)/(x-1)

Draw the graph of f(x) = sqrt(1-e^(-x^(2))

Draw the graph of y=x+(1)/(x)

Draw the graph of y=sqrt(1+x^(2))-x

Draw the graph of y= (x^(2))/(sqrt(x+1))

Draw the graph of y = 3x +1.

Draw the graph of y= sqrt (x^(2)-1)

Draw the graph of y=sqrt((1-x)/(1+x)) .

CENGAGE-GRAPHICAL TRANSFORMATIONS-Exercise
  1. Draw the graph of y=f(x)=sqrt(1-cosx)

    Text Solution

    |

  2. Draw the graph of y=tan^(-1)x-cot^(-1)x.

    Text Solution

    |

  3. Draw the graph of y=|(1)/(|x|)-2|.

    Text Solution

    |

  4. Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x.

    Text Solution

    |

  5. Draw the graph of |y|=(x-1)(x-2)(x-3).

    Text Solution

    |

  6. Draw the graph of y=2sin^(-1)(x//3).

    Text Solution

    |

  7. Draw the graph of y=cot^(-1)|x|.

    Text Solution

    |

  8. Draw the graph of y=sec^(-1)|x|.

    Text Solution

    |

  9. Draw the graph of y=|log(e)(x+3)|.

    Text Solution

    |

  10. Draw the graph of y=|log(e)|x||.

    Text Solution

    |

  11. Draw the graph of y=|{x}-0.5|, where {.} represents the fractional par...

    Text Solution

    |

  12. Draw the graph of y=|sinx|+sin|x|.

    Text Solution

    |

  13. If the graph of y=|f(x)| is as shown in figure then the graph of y=f(...

    Text Solution

    |

  14. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

    Text Solution

    |

  15. Find the number of real solutions to the equation log(0.5)|x|=2|x|.

    Text Solution

    |

  16. Find the number of points where the function f(x)=max|tanx|,cos|x|) is...

    Text Solution

    |

  17. Find the number of points of non-diferentiability for f(x)=max{||x|-1|...

    Text Solution

    |

  18. Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x...

    Text Solution

    |

  19. Draw the graph of |y|=[x], where [.] represents the greatest integer f...

    Text Solution

    |

  20. Draw the graph of |2x|+|y|=2 using graphical transformation.

    Text Solution

    |

  21. Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw t...

    Text Solution

    |