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Further Trigonometry watch

1. Really need help with a couple of trig questions, I hope someone can help me. Thank you so much in advance!!!

by writing cosxcos60 + sinxsin60 as a single cosine, describe the transformation that maps the graph of y=cosx onto the graph of y=cosxcos60 + sinxsin60
2. Given cos(A-B) = cosAcosB + sinAsinB, what does cosXcos60 + sinXsin60 = ?

How does the graph y = f(x) change when you consider y = f(x-c)?

Now apply that to f(x) = cosx
3. so will it be
cos(x-60)=cosxcos60 + sinxsin60
=cos(x-60)

so the transformation will be 60 ??
0

4. More specifically, this is a translation of pi/3 units (aka 60 degrees) in the positive x-direction.

Peace.
5. In other words a phase shift of -pi/3.

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