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Why are the functions tan omegat and cot...

Why are the functions tan `omegat` and cot `omegat` periodic but not harmonic ?

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To understand why the functions \( \tan(\omega t) \) and \( \cot(\omega t) \) are periodic but not harmonic, we can break down the explanation into a step-by-step analysis. ### Step-by-Step Solution: 1. **Definition of Periodic Functions**: - A function is periodic if it repeats its values at regular intervals. For example, the functions \( \sin(\omega t) \) and \( \cos(\omega t) \) have a period of \( 2\pi/\omega \). 2. **Periodicity of \( \tan(\omega t) \) and \( \cot(\omega t) \)**: ...
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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 ?

What is the time period for the function f(t) = sin omegat + cos omega t may represent the simple harmonic motion ?

Does the function y = sin^2 omegat represent a periodic or a simple harmonic motion ? What is the period of the motion ?

Does the function y=cos^(2)omegat represent a periodic of a simple harmonic motion? What is the period of the motion?

the funcation sin^(2)(omegat) repesents

Show that a linear combination of sine and cosine function like x(t)=a sin omegat+b cos omegat represents a simple harmonic. Also, determine its amplitude and phase constant.

Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic motion? Give the period for each case. (i) sinomegat-cosomegat (ii) sin^(2)omegat (iii) cosomegat+2sin^(2)omegat

The function sin^(2) (omegat) represents.

The function sin^(4)(omegat) represents

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