Find the two different phase shifts that translate the cosine curve onto the sine curve. Write an equation for both new cosine curves and each phase shift.
I am not sure about the answer. Thank you!
$y = \sin (x-\pi/2)$ and$y = \sin( 2\pi x-\pi)$
1 Answer
$\begingroup$HINT:
To shift a function like $f(x)$ to the right for "n"unit, what you need to do is $f(x-n)$, and you don't need to multiply anything since it will either compress or stretch the curve.
Since the question asks you to shift the cosine curve to the sine curve, you can either shift it $\frac{3\pi}2$ to the left or $\frac{\pi}{2}$ to the right.
You are translating sine curve in your answer, but the question asks to translate the cosine curve.
Hope this is helpful.
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