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Caption=Research the geometric contents of transformation ~~a graphics to functions f(x)=cos(x)  in graph of ~~functions g(x)=a*cos(bx-c).~~Install the correlation between periods of functions ~~y=f(x) and y=g(x) and value of shift along axis Ox ~~graphics of function y=g(x) comparatively graphics ~~of function y=f(x).~~
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Caption=1. Choose arbitrarily position of point х0 on axis Ox.~~2. Find such position of point x1 on an axis Ox, under which ~~    corresponding to importances of functions y=cos(x) and ~~    y=a*cos(bx-c) coincide (in this case straight line, which ~~    gets through points M0 and M1 must parallel the axis Ox).~~3. For got Dynamic Synopsis find dependency between parameters~~    a, b, c, x0, x1.~~4. The Open regularity check under other importances of parameters.~~5. Make conclusions.~~6. Prove deductive worded hypothesis (or refuse it by means of built ~~    checking example).~~
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