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Graph three periods of the function. (identify period and phase shift and intercepts)

y = f(x) = √3/2 sin(2x) - 1/2 cos(2x)

if you can't graph it can you at least get it into that simpler form which is graph able.

  • trig -

    That can be rewritten
    sin(pi/3)sin 2x - cos(pi/3)cos2x
    = cos(2x + pi/3)= cos [2(x + pi/6)]
    which is a cosine function with an amplitude of 1, a period of pi and a phase shift of -pi/6

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