Home
Class 11
PHYSICS
The trigonometric functions tan theta, c...

The trigonometric functions `tan theta, cot theta` are periodic but not simple harmonic, whereas `sin theta and cos theta` are periodic as well as simple harmonic. Why ?

Text Solution

Verified by Experts

The trignometric functions like `tan theta` or `cot theta` are periodic but not simple harmonic because these functions can take values from `-oo` to `oo`.
Whereas ` sin theta and cos theta` are functions which take values between `-1` and 1 only. Thus these two functions represent a bounded motion and are therefore simple harmonic.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Revision Exercises (Long Answer Questions)|5 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Revision Exercises (Numerical Problems)|23 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Revision Exercises (fill in the blanks)|9 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

Similar Questions

Explore conceptually related problems

Show that sin theta and cos theta are periodic functions.

Why sin theta , cos theta are periodic functions?

Period of sin theta - sqrt2 cos theta is

Prove the trigonometric identities: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+tan theta+cot theta

If tan theta+cot theta=2 then sin theta+cos theta=

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta

If tan theta=-(3)/(4) and (pi)/(2)

Prove the following trigonometric identities: tan theta-cot theta=(2sin^(2)theta-1)/(sin theta cos theta)

MODERN PUBLICATION-OSCILLATIONS -Revision Exercises (Short Answer Questions)
  1. Show that sin theta and cos theta are periodic functions.

    Text Solution

    |

  2. Distinguish between periodic and oscillatory motion with the help of e...

    Text Solution

    |

  3. The trigonometric functions tan theta, cot theta are periodic but not ...

    Text Solution

    |

  4. Does the function y=cos^(2)omegat represent a periodic of a simple ha...

    Text Solution

    |

  5. Distinguish clearly between Harmonic and Non-Harmonic oscillations.

    Text Solution

    |

  6. What do you mean by simple harmonic motion? Give at least two examples...

    Text Solution

    |

  7. What do you mean by restoring force? Explain with the help of an examp...

    Text Solution

    |

  8. Suppose the bob of a simple pendulum is made up of ice. What will hap...

    Text Solution

    |

  9. Derive an expression for the instantaneous velocity of a particle exec...

    Text Solution

    |

  10. Show that in simple harmonic motion, acceleration is directly proprot...

    Text Solution

    |

  11. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alph...

    Text Solution

    |

  12. Derive an expression for the instantaneous acceleration of a particle ...

    Text Solution

    |

  13. Is oscillation of a mass suspended by a spring simple harmonic ?

    Text Solution

    |

  14. A spring having a spring constant k is divded into three parts. Calcul...

    Text Solution

    |

  15. Derive an expression for the time period of a body suspended from a sp...

    Text Solution

    |

  16. The time period of an oscillating body is given by T=2pisqrt((m)/(adg...

    Text Solution

    |

  17. Consider a liquid which fills a uniform U - tube uniform U- tube, as s...

    Text Solution

    |

  18. What will be the effect on (a) periodic time period (b) maximum veloc...

    Text Solution

    |

  19. What do you mean by free and damped oscillations? Explain graphically.

    Text Solution

    |

  20. Free & Forced Oscillations

    Text Solution

    |