The function has a phase shift of pi/2 to the right is y = 2sin(2x - pi ).
What is the trigonometric function?
The basics of define three primary functions which are sine, cosine, and tangent.
The function has a phase shift of pi/2 to the right.
By definition, you have the phase shift is:
\(\rm asin(bx+c)\\\\ Phase \ shift=\dfrac{-c}{b}\)
When you substitute the values from the function \(\rm y=2sin(2x-\pi)\), where \(\rm c=-\pi\) and \(\rm b=2\) , you obtain:
\(\rm Phase \ shift=\dfrac{-(-\pi)}{2}\\\\ Phase \ shift=\dfrac{\pi }{2}\)
Hence, The function has a phase shift of pi/2 to the right is y = 2sin(2x - pi ).
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