# Get A Day in the Life of a Veterinarian PDF This e-book follows a veterinarian in the course of the paintings day, and describes the profession and what the activity calls for.

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38 Functions Problems 1-5 1 state the amplitude and phase angle (with respect to y = 5 sin 0) of the function y = 5 sin (0 + 30°). 2 A cyclic function used to describe a rotating radius (phasor) is defined by the equation y = 4 sin 2t. What is the amplitude and the angular frequency of the function? 3 State the amplitude, period and phase angle for the following cyclic functions: (a) 2 sin (5^ + 1), (b) 6 cos 3f, (c) 5 c o s ( ^ ^ ) , (d) 2 cos ( f - 0 . 6) 5 The potential difference across a component in an electrical circuit is given by the equation v = 40 sin AOnt.

Y=A sin 9. The amplitude of the waveform is changed. 5 sin 9 with amplitudes! 5. 38 Effect of changing A in y = A sin 0, only the amplitude of the graph waves is changed In engineering, we often encounter fiinctions of the general form: y = A sin (9 ±(l))0Ty = A cos (9 ± (p)  (/> is the initial angle we start the rotating radial arm OP at and, as a consequence, (p is the angle by which the sine or cosine graph is moved to the left when positive and to the right when negative. It defines a phase shift of the complete waveform.

The graph describes a periodic function which repeats itself every period of TT (not every In as for a sine or cosine function). Thus: tan 0 = tan (0 + nn)  forA7 = 0, ±1,±2, etc. 40 y = tan^ Example Draw graphs of y = cos 0 and y = cos 20 on the same axis and comment on how they differ. A simple way to sketch the graphs is to formulate a table for values between ^ = 0" and 0 = 360® for cos 0 and cos 20, then plot the respective curves. 41 shows the resulting graphs. 41 Graphs ofy = cos ^ and y = cos 2 0 Example Sketch the function y = 5 sin (0 + 30**) for values of 9 between 0** and 360°.