Home
Class 12
MATHS
Draw the graph of y = " cosec "^(2) x - ...

Draw the graph of `y = " cosec "^(2) x - cot^(2) x.` Is f(x) periodic ? If yes, what is its fundamental period ?

Text Solution

AI Generated Solution

To solve the problem of drawing the graph of \( y = \csc^2 x - \cot^2 x \) and determining if it is periodic, we can follow these steps: ### Step 1: Rewrite the Function We start with the function: \[ y = \csc^2 x - \cot^2 x \] Using the trigonometric identity: ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos
  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE ENGLISH|Exercise EXERCISES|34 Videos
  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of y=2x.

Draw the graph of y=sec^(2)x-tan^(2)x. Is f(x) periodic? If yes, what is its fundamental period?

Draw the graph of y=|x|+2

Draw the graph of y=2^(x) .

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

Draw the graph of y = |x^(2) - 2x|-x .

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

draw graph of y=2x

Draw the graph of y=sec^(-1)x+cosec^(-1)x

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

CENGAGE ENGLISH-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercises
  1. Draw the graph of y = " cosec "^(2) x - cot^(2) x. Is f(x) periodic ? ...

    Text Solution

    |

  2. Draw the graph of y = cos pix.

    Text Solution

    |

  3. Draw the graph of y = cos^(2)x.

    Text Solution

    |

  4. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  5. Draw the graph of y = tan^(2) x.

    Text Solution

    |

  6. Draw the graph of y = sin x + cos x, x in [0, 2pi].

    Text Solution

    |

  7. Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the...

    Text Solution

    |

  8. Draw the graph of y = sin pisqrt(x).

    Text Solution

    |

  9. Find the number of roots of the equation x sin x = 1, x in [-2pi, 0) ...

    Text Solution

    |

  10. Evaluate : [lim(x to 0) (tan x)/(x)], where [*] represents the greates...

    Text Solution

    |

  11. For f(x) = sin x - x^(2) + 1, check weather the function is increasing...

    Text Solution

    |

  12. Draw the graph of the function f(x)=m a xdot{sinx ,cos2x},x in [0,2pi]...

    Text Solution

    |

  13. Draw the graph of [y] = cos x, x in [0, 2pi], where [*] denotes the g...

    Text Solution

    |

  14. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

    Text Solution

    |

  15. Draw the graph of f(x) = |tan x| + |cot x|.

    Text Solution

    |

  16. Find the number of solutions to cos x = (x)/(10), x gt 0.

    Text Solution

    |

  17. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

    Text Solution

    |

  18. Find the number of solutions to log(e) |sin x| = -x^(2) + 2x in [-(pi)...

    Text Solution

    |

  19. Solve : Cos x le - (1)/(2).

    Text Solution

    |

  20. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |