Home
Class 12
MATHS
The number of solution of 2cosx=|sinx| w...

The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are

Text Solution

Verified by Experts

To find the number of solutions to the equation `2cosx=|sinx|,0lexle4pi`, we need to find how many times the graphs of `y=2cosxandy=|sinx|` intersect in `[0,4pi]`.
The graphs of `y=2cosxandy=|sinx|` are plotted as ss

We find that the graphs intersect at four points. Hence the equation has four solutions.
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

Find the number of solutions of 2cos x=|sinx| when x in [0,4pi] .

The number of solution of cosx=|1+sinx|,0lexle3pi is

The number of solutions of 2 cosx=|sinx|, 0 le x le 4 pi, is

The number of solutions of |cosx|=sinx,0lexle4pi is-

Total number of solutions of sin^(4)x+cos^(4)x=sinx*cosx in [0,2pi] is equal to

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

Find the number of solution of [cosx]+|sinx|=1, x inpilt=xlt=3pi (where [ ] denotes the greatest integer function).

Number of solution of sinx cosx-3cosx+4sinx-13 gt 0 in [0,2pi] is equal to

Total number of solution of 2^(cosx)=abs(sinx)"in"[ -2pi,5pi] is equal to :

CENGAGE-GRAPHICAL TRANSFORMATIONS-Exercise
  1. The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

    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

    |