Question

What is the smallest positive phase constant which is equivalent to 7⋅5 π?

Answer 1

$1.5\pi$ is the smallest Positive Phase Constant

Explanation:

Equation of the wave: $y = Asin (kx - \omega t + \phi)$

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

The sine is a phase for that argument,

Hence,  the smallest (positive) phase constant should be  

$sin (7.5 \pi) = sin(3\times 2\pi + 1.5\pi)$

                         $= sin (1.5\pi)$

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