Construct the equations of the following trigonometric functions:

A)A sine function with amplitude 2, period , phase shift /3 right

B)A tangent function with a reflection in the y-axis, period ¾, translation up 5 units

C)A cosine function with period 270°, translation down 50 units, reflection in the x-axis

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  1. sin(x) has amplitude 1, period 2pi, no phase shift

    sin(x-pi/3) is shifted pi/3 to the right
    sin(2(x-pi/3)) has period pi, shifted right by pi/3
    2sin(2(x-pi/3)) meets the requirements.

    Do the others in lime wise.
    Recall that tan(x) has period pi, not 2pi.

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