Question
What is the smallest positive phase constant which is equivalent to $7.5\pi?$

Answer

Equation of the wave:

$\text{y}=\text{A}\sin (\text{kx}-\omega\text{t}+\phi)$

Here, A is the amplitude, k is the wave nunumber, $\omega$ is the angular frequency and $\phi$ is the initial phase.

The argument of the sine is a phase, so the smallest positive phase constant should be.

$\sin(7.5\pi)=\sin (3\times2\pi+1.5\pi)$

$=\sin (1.5\pi)$

Therefore, the smallest positive phase constant is $1.5 \pi.$

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